Hartogs's extension theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hartogs's extension theorem" in English language version.

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accademiaxl.it

See Fichera (1983) and Bratti (1986a) (Bratti 1986b). Fichera, Gaetano (1983), "Sul fenomeno di Hartogs per gli operatori lineari alle derivate parziali", Rendiconti Dell' Istituto Lombardo di Scienze e Lettere. Scienze Matemàtiche e Applicazioni, Series A. (in Italian), 117: 199–211, MR 0848259, Zbl 0603.35013. An English translation of the title reads as:-"Hartogs phenomenon for certain linear partial differential operators". Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
See Bratti (1986a) (Bratti 1986b). Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26

ams.org

mathscinet.ams.org

See the original paper of Hartogs (1906) and its description in various historical surveys by Osgood (1966, pp. 56–59), Severi (1958, pp. 111–115) and Struppa (1988, pp. 132–134). In particular, in this last reference on p. 132, the Author explicitly writes :-"As it is pointed out in the title of (Hartogs 1906), and as the reader shall soon see, the key tool in the proof is the Cauchy integral formula". Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01. Osgood, William Fogg (1966) [1913], Topics in the theory of functions of several complex variables (unabridged and corrected ed.), New York: Dover, pp. IV+120, JFM 45.0661.02, MR 0201668, Zbl 0138.30901. Severi, Francesco (1958), Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in Roma (in Italian), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, Zbl 0094.28002. A translation of the title is:-"Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome". This book consist of lecture notes from a course held by Francesco Severi at the Istituto Nazionale di Alta Matematica (which at present bears his name), and includes appendices of Enzo Martinelli, Giovanni Battista Rizza and Mario Benedicty. Struppa, Daniele C. (1988), "The first eighty years of Hartogs' theorem", Seminari di Geometria 1987–1988, Bologna: Università degli Studi di Bologna – Dipartimento di Matematica, pp. 127–209, MR 0973699, Zbl 0657.35018. Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01.
See for example Vladimirov (1966, p. 153), which refers the reader to the book of Fuks (1963, p. 284) for a proof (however, in the former reference it is incorrectly stated that the proof is on page 324). Vladimirov, V. S. (1966), Ehrenpreis, L. (ed.), Methods of the theory of functions of several complex variables. With a foreword of N.N. Bogolyubov, Cambridge-London: The M.I.T. Press, pp. XII+353, MR 0201669, Zbl 0125.31904 (Zentralblatt review of the original Russian edition). One of the first modern monographs on the theory of several complex variables, being different from other ones of the same period due to the extensive use of generalized functions.
See Brown (1936) and Osgood (1929). Brown, Arthur B. (1936), "On certain analytic continuations and analytic homeomorphisms", Duke Mathematical Journal, 2: 20–28, doi:10.1215/S0012-7094-36-00203-X, JFM 62.0396.02, MR 1545903, Zbl 0013.40701 Osgood, W. F. (1929), Lehrbuch der Funktionentheorie. II, Teubners Sammlung von Lehrbüchern auf dem Gebiet der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (in German), vol. Bd. XX - 1 (2nd ed.), Leipzig: B. G. Teubner, pp. VIII+307, ISBN 9780828401821, JFM 55.0171.02 {{citation}}: ISBN / Date incompatibility (help).
See Fichera (1983) and Bratti (1986a) (Bratti 1986b). Fichera, Gaetano (1983), "Sul fenomeno di Hartogs per gli operatori lineari alle derivate parziali", Rendiconti Dell' Istituto Lombardo di Scienze e Lettere. Scienze Matemàtiche e Applicazioni, Series A. (in Italian), 117: 199–211, MR 0848259, Zbl 0603.35013. An English translation of the title reads as:-"Hartogs phenomenon for certain linear partial differential operators". Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
Fichera's proof as well as his epoch making paper (Fichera 1957) seem to have been overlooked by many specialists of the theory of functions of several complex variables: see Range (2002) for the correct attribution of many important theorems in this field. Fichera, Gaetano (1957), "Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 8 (in Italian), 22 (6): 706–715, MR 0093597, Zbl 0106.05202. An epoch-making paper in the theory of CR-functions, where the Dirichlet problem for analytic functions of several complex variables is solved for general data. A translation of the title reads as:-"Characterization of the trace, on the boundary of a domain, of an analytic function of several complex variables". Range, R. Michael (2002), "Extension phenomena in multidimensional complex analysis: correction of the historical record", The Mathematical Intelligencer, 24 (2): 4–12, doi:10.1007/BF03024609, MR 1907191, S2CID 120531925. A historical paper correcting some inexact historical statements in the theory of holomorphic functions of several variables, particularly concerning contributions of Gaetano Fichera and Francesco Severi.
See Bratti (1986a) (Bratti 1986b). Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
See his paper (Kaneko 1973) and the references therein. Kaneko, Akira (January 12, 1973), "On continuation of regular solutions of partial differential equations with constant coefficients", Proceedings of the Japan Academy, 49 (1): 17–19, doi:10.3792/pja/1195519488, MR 0412578, Zbl 0265.35008, available at Project Euclid.
Hörmander 1990, Theorem 2.3.2. Hörmander, Lars (1990) [1966], An Introduction to Complex Analysis in Several Variables, North–Holland Mathematical Library, vol. 7 (3rd (Revised) ed.), Amsterdam–London–New York–Tokyo: North-Holland, ISBN 0-444-88446-7, MR 1045639, Zbl 0685.32001.
Hörmander 1990, p. 30. Hörmander, Lars (1990) [1966], An Introduction to Complex Analysis in Several Variables, North–Holland Mathematical Library, vol. 7 (3rd (Revised) ed.), Amsterdam–London–New York–Tokyo: North-Holland, ISBN 0-444-88446-7, MR 1045639, Zbl 0685.32001.

archive.org

See the original paper of Hartogs (1906) and its description in various historical surveys by Osgood (1966, pp. 56–59), Severi (1958, pp. 111–115) and Struppa (1988, pp. 132–134). In particular, in this last reference on p. 132, the Author explicitly writes :-"As it is pointed out in the title of (Hartogs 1906), and as the reader shall soon see, the key tool in the proof is the Cauchy integral formula". Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01. Osgood, William Fogg (1966) [1913], Topics in the theory of functions of several complex variables (unabridged and corrected ed.), New York: Dover, pp. IV+120, JFM 45.0661.02, MR 0201668, Zbl 0138.30901. Severi, Francesco (1958), Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in Roma (in Italian), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, Zbl 0094.28002. A translation of the title is:-"Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome". This book consist of lecture notes from a course held by Francesco Severi at the Istituto Nazionale di Alta Matematica (which at present bears his name), and includes appendices of Enzo Martinelli, Giovanni Battista Rizza and Mario Benedicty. Struppa, Daniele C. (1988), "The first eighty years of Hartogs' theorem", Seminari di Geometria 1987–1988, Bologna: Università degli Studi di Bologna – Dipartimento di Matematica, pp. 127–209, MR 0973699, Zbl 0657.35018. Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01.

books.google.com

See Brown (1936) and Osgood (1929). Brown, Arthur B. (1936), "On certain analytic continuations and analytic homeomorphisms", Duke Mathematical Journal, 2: 20–28, doi:10.1215/S0012-7094-36-00203-X, JFM 62.0396.02, MR 1545903, Zbl 0013.40701 Osgood, W. F. (1929), Lehrbuch der Funktionentheorie. II, Teubners Sammlung von Lehrbüchern auf dem Gebiet der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (in German), vol. Bd. XX - 1 (2nd ed.), Leipzig: B. G. Teubner, pp. VIII+307, ISBN 9780828401821, JFM 55.0171.02 {{citation}}: ISBN / Date incompatibility (help).

doi.org

See Brown (1936) and Osgood (1929). Brown, Arthur B. (1936), "On certain analytic continuations and analytic homeomorphisms", Duke Mathematical Journal, 2: 20–28, doi:10.1215/S0012-7094-36-00203-X, JFM 62.0396.02, MR 1545903, Zbl 0013.40701 Osgood, W. F. (1929), Lehrbuch der Funktionentheorie. II, Teubners Sammlung von Lehrbüchern auf dem Gebiet der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (in German), vol. Bd. XX - 1 (2nd ed.), Leipzig: B. G. Teubner, pp. VIII+307, ISBN 9780828401821, JFM 55.0171.02 {{citation}}: ISBN / Date incompatibility (help).
Fichera's proof as well as his epoch making paper (Fichera 1957) seem to have been overlooked by many specialists of the theory of functions of several complex variables: see Range (2002) for the correct attribution of many important theorems in this field. Fichera, Gaetano (1957), "Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 8 (in Italian), 22 (6): 706–715, MR 0093597, Zbl 0106.05202. An epoch-making paper in the theory of CR-functions, where the Dirichlet problem for analytic functions of several complex variables is solved for general data. A translation of the title reads as:-"Characterization of the trace, on the boundary of a domain, of an analytic function of several complex variables". Range, R. Michael (2002), "Extension phenomena in multidimensional complex analysis: correction of the historical record", The Mathematical Intelligencer, 24 (2): 4–12, doi:10.1007/BF03024609, MR 1907191, S2CID 120531925. A historical paper correcting some inexact historical statements in the theory of holomorphic functions of several variables, particularly concerning contributions of Gaetano Fichera and Francesco Severi.
See his paper (Kaneko 1973) and the references therein. Kaneko, Akira (January 12, 1973), "On continuation of regular solutions of partial differential equations with constant coefficients", Proceedings of the Japan Academy, 49 (1): 17–19, doi:10.3792/pja/1195519488, MR 0412578, Zbl 0265.35008, available at Project Euclid.

projecteuclid.org

See his paper (Kaneko 1973) and the references therein. Kaneko, Akira (January 12, 1973), "On continuation of regular solutions of partial differential equations with constant coefficients", Proceedings of the Japan Academy, 49 (1): 17–19, doi:10.3792/pja/1195519488, MR 0412578, Zbl 0265.35008, available at Project Euclid.

semanticscholar.org

api.semanticscholar.org

Fichera's proof as well as his epoch making paper (Fichera 1957) seem to have been overlooked by many specialists of the theory of functions of several complex variables: see Range (2002) for the correct attribution of many important theorems in this field. Fichera, Gaetano (1957), "Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 8 (in Italian), 22 (6): 706–715, MR 0093597, Zbl 0106.05202. An epoch-making paper in the theory of CR-functions, where the Dirichlet problem for analytic functions of several complex variables is solved for general data. A translation of the title reads as:-"Characterization of the trace, on the boundary of a domain, of an analytic function of several complex variables". Range, R. Michael (2002), "Extension phenomena in multidimensional complex analysis: correction of the historical record", The Mathematical Intelligencer, 24 (2): 4–12, doi:10.1007/BF03024609, MR 1907191, S2CID 120531925. A historical paper correcting some inexact historical statements in the theory of holomorphic functions of several variables, particularly concerning contributions of Gaetano Fichera and Francesco Severi.

web.archive.org

See Fichera (1983) and Bratti (1986a) (Bratti 1986b). Fichera, Gaetano (1983), "Sul fenomeno di Hartogs per gli operatori lineari alle derivate parziali", Rendiconti Dell' Istituto Lombardo di Scienze e Lettere. Scienze Matemàtiche e Applicazioni, Series A. (in Italian), 117: 199–211, MR 0848259, Zbl 0603.35013. An English translation of the title reads as:-"Hartogs phenomenon for certain linear partial differential operators". Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
See Bratti (1986a) (Bratti 1986b). Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26

zbmath.org

See the original paper of Hartogs (1906) and its description in various historical surveys by Osgood (1966, pp. 56–59), Severi (1958, pp. 111–115) and Struppa (1988, pp. 132–134). In particular, in this last reference on p. 132, the Author explicitly writes :-"As it is pointed out in the title of (Hartogs 1906), and as the reader shall soon see, the key tool in the proof is the Cauchy integral formula". Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01. Osgood, William Fogg (1966) [1913], Topics in the theory of functions of several complex variables (unabridged and corrected ed.), New York: Dover, pp. IV+120, JFM 45.0661.02, MR 0201668, Zbl 0138.30901. Severi, Francesco (1958), Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in Roma (in Italian), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, Zbl 0094.28002. A translation of the title is:-"Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome". This book consist of lecture notes from a course held by Francesco Severi at the Istituto Nazionale di Alta Matematica (which at present bears his name), and includes appendices of Enzo Martinelli, Giovanni Battista Rizza and Mario Benedicty. Struppa, Daniele C. (1988), "The first eighty years of Hartogs' theorem", Seminari di Geometria 1987–1988, Bologna: Università degli Studi di Bologna – Dipartimento di Matematica, pp. 127–209, MR 0973699, Zbl 0657.35018. Hartogs, Fritz (1906), "Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrerer Veränderlichen.", Sitzungsberichte der Königlich Bayerischen Akademie der Wissenschaften zu München, Mathematisch-Physikalische Klasse (in German), 36: 223–242, JFM 37.0443.01.
See for example Vladimirov (1966, p. 153), which refers the reader to the book of Fuks (1963, p. 284) for a proof (however, in the former reference it is incorrectly stated that the proof is on page 324). Vladimirov, V. S. (1966), Ehrenpreis, L. (ed.), Methods of the theory of functions of several complex variables. With a foreword of N.N. Bogolyubov, Cambridge-London: The M.I.T. Press, pp. XII+353, MR 0201669, Zbl 0125.31904 (Zentralblatt review of the original Russian edition). One of the first modern monographs on the theory of several complex variables, being different from other ones of the same period due to the extensive use of generalized functions.
See Brown (1936) and Osgood (1929). Brown, Arthur B. (1936), "On certain analytic continuations and analytic homeomorphisms", Duke Mathematical Journal, 2: 20–28, doi:10.1215/S0012-7094-36-00203-X, JFM 62.0396.02, MR 1545903, Zbl 0013.40701 Osgood, W. F. (1929), Lehrbuch der Funktionentheorie. II, Teubners Sammlung von Lehrbüchern auf dem Gebiet der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (in German), vol. Bd. XX - 1 (2nd ed.), Leipzig: B. G. Teubner, pp. VIII+307, ISBN 9780828401821, JFM 55.0171.02 {{citation}}: ISBN / Date incompatibility (help).
See Fichera (1983) and Bratti (1986a) (Bratti 1986b). Fichera, Gaetano (1983), "Sul fenomeno di Hartogs per gli operatori lineari alle derivate parziali", Rendiconti Dell' Istituto Lombardo di Scienze e Lettere. Scienze Matemàtiche e Applicazioni, Series A. (in Italian), 117: 199–211, MR 0848259, Zbl 0603.35013. An English translation of the title reads as:-"Hartogs phenomenon for certain linear partial differential operators". Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
Fichera's proof as well as his epoch making paper (Fichera 1957) seem to have been overlooked by many specialists of the theory of functions of several complex variables: see Range (2002) for the correct attribution of many important theorems in this field. Fichera, Gaetano (1957), "Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 8 (in Italian), 22 (6): 706–715, MR 0093597, Zbl 0106.05202. An epoch-making paper in the theory of CR-functions, where the Dirichlet problem for analytic functions of several complex variables is solved for general data. A translation of the title reads as:-"Characterization of the trace, on the boundary of a domain, of an analytic function of several complex variables". Range, R. Michael (2002), "Extension phenomena in multidimensional complex analysis: correction of the historical record", The Mathematical Intelligencer, 24 (2): 4–12, doi:10.1007/BF03024609, MR 1907191, S2CID 120531925. A historical paper correcting some inexact historical statements in the theory of holomorphic functions of several variables, particularly concerning contributions of Gaetano Fichera and Francesco Severi.
See Bratti (1986a) (Bratti 1986b). Bratti, Giuliano (1986a), "A proposito di un esempio di Fichera relativo al fenomeno di Hartogs" [About an example of Fichera concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 241–246, MR 0879111, Zbl 0646.35007, archived from the original on 2011-07-26 Bratti, Giuliano (1986b), "Estensione di un teorema di Fichera relativo al fenomeno di Hartogs per sistemi differenziali a coefficenti costanti" [Extension of a theorem of Fichera for systems of P.D.E. with constant coefficients, concerning Hartogs's phenomenon], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, serie 5 (in Italian and English), X (1): 255–259, MR 0879114, Zbl 0646.35008, archived from the original on 2011-07-26
See his paper (Kaneko 1973) and the references therein. Kaneko, Akira (January 12, 1973), "On continuation of regular solutions of partial differential equations with constant coefficients", Proceedings of the Japan Academy, 49 (1): 17–19, doi:10.3792/pja/1195519488, MR 0412578, Zbl 0265.35008, available at Project Euclid.
Hörmander 1990, Theorem 2.3.2. Hörmander, Lars (1990) [1966], An Introduction to Complex Analysis in Several Variables, North–Holland Mathematical Library, vol. 7 (3rd (Revised) ed.), Amsterdam–London–New York–Tokyo: North-Holland, ISBN 0-444-88446-7, MR 1045639, Zbl 0685.32001.
Hörmander 1990, p. 30. Hörmander, Lars (1990) [1966], An Introduction to Complex Analysis in Several Variables, North–Holland Mathematical Library, vol. 7 (3rd (Revised) ed.), Amsterdam–London–New York–Tokyo: North-Holland, ISBN 0-444-88446-7, MR 1045639, Zbl 0685.32001.