Dirac delta function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dirac delta function" in English language version.

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Jackson, J. D. (2008-08-01). "Examples of the zeroth theorem of the history of science". American Journal of Physics. 76 (8): 704–719. arXiv:0708.4249. Bibcode:2008AmJPh..76..704J. doi:10.1119/1.2904468. ISSN 0002-9505.

ams.org

mathscinet.ams.org

A more complete historical account can be found in van der Pol & Bremmer 1987, §V.4. van der Pol, Balth.; Bremmer, H. (1987), Operational calculus (3rd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0327-6, MR 0904873.
Hörmander 1983, Theorem 2.1.5. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §3.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §8.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Dieudonné 1972, §17.3.3. Dieudonné, Jean (1972), Treatise on analysis. Vol. III, Boston, Massachusetts: Academic Press, MR 0350769
Federer 1969, §2.5.19. Federer, Herbert (1969), Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, vol. 153, New York: Springer-Verlag, pp. xiv+676, ISBN 978-3-540-60656-7, MR 0257325.
Hörmander 1983, §6.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, p. 56. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §7.8. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Lang 1997, p. 312. Lang, Serge (1997), Undergraduate analysis, Undergraduate Texts in Mathematics (2nd ed.), Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4757-2698-5, ISBN 978-0-387-94841-6, MR 1476913.
In the terminology of Lang (1997), the Fejér kernel is a Dirac sequence, whereas the Dirichlet kernel is not. Lang, Serge (1997), Undergraduate analysis, Undergraduate Texts in Mathematics (2nd ed.), Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4757-2698-5, ISBN 978-0-387-94841-6, MR 1476913.
Hörmander 1983, §7.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.

archive.org

Rudin 1991, Theorem 6.25. Rudin, Walter (1991), Functional Analysis (2nd ed.), McGraw-Hill, ISBN 978-0-07-054236-5.
Rudin 1991, §II.6.31. Rudin, Walter (1991), Functional Analysis (2nd ed.), McGraw-Hill, ISBN 978-0-07-054236-5.

arxiv.org

Jackson, J. D. (2008-08-01). "Examples of the zeroth theorem of the history of science". American Journal of Physics. 76 (8): 704–719. arXiv:0708.4249. Bibcode:2008AmJPh..76..704J. doi:10.1119/1.2904468. ISSN 0002-9505.
Lange 2012, pp.29–30. Lange, Rutger-Jan (2012), "Potential theory, path integrals and the Laplacian of the indicator", Journal of High Energy Physics, 2012 (11): 29–30, arXiv:1302.0864, Bibcode:2012JHEP...11..032L, doi:10.1007/JHEP11(2012)032, S2CID 56188533.
de la Madrid, Bohm & Gadella 2002. de la Madrid, R.; Bohm, A.; Gadella, M. (2002), "Rigged Hilbert Space Treatment of Continuous Spectrum", Fortschr. Phys., 50 (2): 185–216, arXiv:quant-ph/0109154, Bibcode:2002ForPh..50..185D, doi:10.1002/1521-3978(200203)50:2<185::AID-PROP185>3.0.CO;2-S, S2CID 9407651.

bnf.fr

gallica.bnf.fr

See, for example, Cauchy, Augustin-Louis (1789-1857) Auteur du texte (1882–1974). "Des intégrales doubles qui se présentent sous une forme indéterminèe". Oeuvres complètes d'Augustin Cauchy. Série 1, tome 1 / publiées sous la direction scientifique de l'Académie des sciences et sous les auspices de M. le ministre de l'Instruction publique...{{cite book}}: CS1 maint: numeric names: authors list (link)

books.google.com

Gelfand & Shilov 1966–1968, Volume I, §1.1. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Zhao 2011, p. 174. Zhao, Ji-Cheng (2011), Methods for Phase Diagram Determination, Elsevier, ISBN 978-0-08-054996-5
Snieder 2004, p. 212. Snieder, Roel (2004), A Guided Tour of Mathematical Methods: For the Physical Sciences, Cambridge University Press
Fourier, JB (1822). The Analytical Theory of Heat (English translation by Alexander Freeman, 1878 ed.). The University Press. p. [1]., cf. https://books.google.com/books?id=-N8EAAAAYAAJ&pg=PA449 and pp. 546–551. Original French text.
Komatsu, Hikosaburo (2002). "Fourier's hyperfunctions and Heaviside's pseudodifferential operators". In Takahiro Kawai; Keiko Fujita (eds.). Microlocal Analysis and Complex Fourier Analysis. World Scientific. p. [2]. ISBN 978-981-238-161-3.
Myint-U., Tyn; Debnath, Lokenath (2007). Linear Partial Differential Equations for Scientists And Engineers (4th ed.). Springer. p. [3]. ISBN 978-0-8176-4393-5.
Debnath, Lokenath; Bhatta, Dambaru (2007). Integral Transforms And Their Applications (2nd ed.). CRC Press. p. [4]. ISBN 978-1-58488-575-7.
Grattan-Guinness, Ivor (2009). Convolutions in French Mathematics, 1800–1840: From the Calculus and Mechanics to Mathematical Analysis and Mathematical Physics, Volume 2. Birkhäuser. p. 653. ISBN 978-3-7643-2238-0.
Mitrović, Dragiša; Žubrinić, Darko (1998). Fundamentals of Applied Functional Analysis: Distributions, Sobolev Spaces. CRC Press. p. 62. ISBN 978-0-582-24694-2.
Kracht, Manfred; Kreyszig, Erwin (1989). "On singular integral operators and generalizations". In Themistocles M. Rassias (ed.). Topics in Mathematical Analysis: A Volume Dedicated to the Memory of A.L. Cauchy. World Scientific. p. https://books.google.com/books?id=xIsPrSiDlZIC&pg=PA553 553]. ISBN 978-9971-5-0666-7.
Gelfand & Shilov 1966–1968, Volume I, §1.1, p. 1. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Driggers 2003, p. 2321 See also Bracewell 1986, Chapter 5 for a different interpretation. Other conventions for the assigning the value of the Heaviside function at zero exist, and some of these are not consistent with what follows. Driggers, Ronald G. (2003), Encyclopedia of Optical Engineering, CRC Press, Bibcode:2003eoe..book.....D, ISBN 978-0-8247-0940-2. Bracewell, R. N. (1986), The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill, Bibcode:1986ftia.book.....B.
Hazewinkel 2011, p. 41. Hazewinkel, Michiel (2011). Encyclopaedia of mathematics. Vol. 10. Springer. ISBN 978-90-481-4896-7. OCLC 751862625.
Strichartz 1994, §2.2. Strichartz, R. (1994), A Guide to Distribution Theory and Fourier Transforms, CRC Press, ISBN 978-0-8493-8273-4.
Hörmander 1983, Theorem 2.1.5. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §3.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Strichartz 1994, §2.3. Strichartz, R. (1994), A Guide to Distribution Theory and Fourier Transforms, CRC Press, ISBN 978-0-8493-8273-4.
Hörmander 1983, §8.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Krantz, Steven G.; Parks, Harold R. (2008-12-15). Geometric Integration Theory. Springer Science & Business Media. ISBN 978-0-8176-4679-0.
Federer 1969, §2.5.19. Federer, Herbert (1969), Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, vol. 153, New York: Springer-Verlag, pp. xiv+676, ISBN 978-3-540-60656-7, MR 0257325.
Strichartz 1994, Problem 2.6.2. Strichartz, R. (1994), A Guide to Distribution Theory and Fourier Transforms, CRC Press, ISBN 978-0-8493-8273-4.
Karris, Steven T. (2003). Signals and Systems with MATLAB Applications. Orchard Publications. p. 15. ISBN 978-0-9709511-6-8.
Roden, Martin S. (2014-05-17). Introduction to Communication Theory. Elsevier. p. [5]. ISBN 978-1-4831-4556-3.
Rottwitt, Karsten; Tidemand-Lichtenberg, Peter (2014-12-11). Nonlinear Optics: Principles and Applications. CRC Press. p. [6] 276. ISBN 978-1-4665-6583-8.
Gelfand & Shilov 1966–1968, Vol. 1, §II.2.5. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Hörmander 1983, §6.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Gelfand & Shilov 1966–1968, p. 212. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Gelfand & Shilov 1966–1968, p. 26. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Gelfand & Shilov 1966–1968, §2.1. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Hörmander 1983, p. 56. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Stein & Weiss 1971, Theorem 1.18. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, ISBN 978-0-691-08078-9.
Saichev & Woyczyński 1997, §1.1 The "delta function" as viewed by a physicist and an engineer, p. 3. Saichev, A I; Woyczyński, Wojbor Andrzej (1997), "Chapter1: Basic definitions and operations", Distributions in the Physical and Engineering Sciences: Distributional and fractal calculus, integral transforms, and wavelets, Birkhäuser, ISBN 978-0-8176-3924-2
Milovanović, Gradimir V.; Rassias, Michael Th (2014-07-08). Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava. Springer. p. 748. ISBN 978-1-4939-0258-3.
Stein & Weiss 1971, §I.1. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, ISBN 978-0-691-08078-9.
Mader, Heidy M. (2006). Statistics in Volcanology. Geological Society of London. p. 81. ISBN 978-1-86239-208-3.
Vallée & Soares 2004, §7.2. Vallée, Olivier; Soares, Manuel (2004), Airy functions and applications to physics, London: Imperial College Press, ISBN 9781911299486.
Hörmander 1983, §7.8. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Gelfand & Shilov 1966–1968, I, §3.10. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.
Hazewinkel 1995, p. 357. Hazewinkel, Michiel (1995). Encyclopaedia of Mathematics (set). Springer Science & Business Media. ISBN 978-1-55608-010-4.
The development of this section in bra–ket notation is found in (Levin 2002, Coordinate-space wave functions and completeness, pp.=109ff) Levin, Frank S. (2002), "Coordinate-space wave functions and completeness", An introduction to quantum theory, Cambridge University Press, pp. 109ff, ISBN 978-0-521-59841-5
Davis & Thomson 2000, Perfect operators, p.344. Davis, Howard Ted; Thomson, Kendall T (2000), Linear algebra and linear operators in engineering with applications in Mathematica, Academic Press, ISBN 978-0-12-206349-7
Davis & Thomson 2000, Equation 8.9.11, p. 344. Davis, Howard Ted; Thomson, Kendall T (2000), Linear algebra and linear operators in engineering with applications in Mathematica, Academic Press, ISBN 978-0-12-206349-7
Hörmander 1983, §7.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hartmann 1997, pp. 154–155. Hartmann, William M. (1997), Signals, sound, and sensation, Springer, ISBN 978-1-56396-283-7.
Isham 1995, §6.2. Isham, C. J. (1995), Lectures on quantum theory: mathematical and structural foundations, Imperial College Press, Bibcode:1995lqtm.book.....I, ISBN 978-81-7764-190-5.
Gelfand & Shilov 1966–1968, Vol. 4, §I.4.1. Gelfand, I. M.; Shilov, G. E. (1966–1968), Generalized functions, vol. 1–5, Academic Press, ISBN 9781483262246.

doi.org

Jackson, J. D. (2008-08-01). "Examples of the zeroth theorem of the history of science". American Journal of Physics. 76 (8): 704–719. arXiv:0708.4249. Bibcode:2008AmJPh..76..704J. doi:10.1119/1.2904468. ISSN 0002-9505.
Laugwitz 1989, p. 230. Laugwitz, D. (1989), "Definite values of infinite sums: aspects of the foundations of infinitesimal analysis around 1820", Arch. Hist. Exact Sci., 39 (3): 195–245, doi:10.1007/BF00329867, S2CID 120890300.
Dirac, P. A. M. (January 1927). "The physical interpretation of the quantum dynamics". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 113 (765): 621–641. Bibcode:1927RSPSA.113..621D. doi:10.1098/rspa.1927.0012. ISSN 0950-1207. S2CID 122855515.
Hörmander 1983, Theorem 2.1.5. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §3.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §8.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §6.1. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Lange 2012, pp.29–30. Lange, Rutger-Jan (2012), "Potential theory, path integrals and the Laplacian of the indicator", Journal of High Energy Physics, 2012 (11): 29–30, arXiv:1302.0864, Bibcode:2012JHEP...11..032L, doi:10.1007/JHEP11(2012)032, S2CID 56188533.
Hörmander 1983, p. 56. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Hörmander 1983, §7.8. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Lang 1997, p. 312. Lang, Serge (1997), Undergraduate analysis, Undergraduate Texts in Mathematics (2nd ed.), Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4757-2698-5, ISBN 978-0-387-94841-6, MR 1476913.
In the terminology of Lang (1997), the Fejér kernel is a Dirac sequence, whereas the Dirichlet kernel is not. Lang, Serge (1997), Undergraduate analysis, Undergraduate Texts in Mathematics (2nd ed.), Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4757-2698-5, ISBN 978-0-387-94841-6, MR 1476913.
de la Madrid, Bohm & Gadella 2002. de la Madrid, R.; Bohm, A.; Gadella, M. (2002), "Rigged Hilbert Space Treatment of Continuous Spectrum", Fortschr. Phys., 50 (2): 185–216, arXiv:quant-ph/0109154, Bibcode:2002ForPh..50..185D, doi:10.1002/1521-3978(200203)50:2<185::AID-PROP185>3.0.CO;2-S, S2CID 9407651.
Laugwitz 1989. Laugwitz, D. (1989), "Definite values of infinite sums: aspects of the foundations of infinitesimal analysis around 1820", Arch. Hist. Exact Sci., 39 (3): 195–245, doi:10.1007/BF00329867, S2CID 120890300.
Hörmander 1983, §7.2. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer, doi:10.1007/978-3-642-96750-4, ISBN 978-3-540-12104-6, MR 0717035.
Kanwal, Ram P. (1997). "15.1. Applications to Probability and Random Processes". Generalized Functions Theory and Technique. Boston, MA: Birkhäuser Boston. doi:10.1007/978-1-4684-0035-9. ISBN 978-1-4684-0037-3.
Karatzas & Shreve 1998, p. 204. Karatzas, Ioannis; Shreve, Steven E. (1998), Brownian Motion and Stochastic Calculus, vol. 113, New York, NY: Springer New York, doi:10.1007/978-1-4612-0949-2, ISBN 978-0-387-97655-6

harvard.edu

ui.adsabs.harvard.edu

Jackson, J. D. (2008-08-01). "Examples of the zeroth theorem of the history of science". American Journal of Physics. 76 (8): 704–719. arXiv:0708.4249. Bibcode:2008AmJPh..76..704J. doi:10.1119/1.2904468. ISSN 0002-9505.
Dirac, P. A. M. (January 1927). "The physical interpretation of the quantum dynamics". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 113 (765): 621–641. Bibcode:1927RSPSA.113..621D. doi:10.1098/rspa.1927.0012. ISSN 0950-1207. S2CID 122855515.
Driggers 2003, p. 2321 See also Bracewell 1986, Chapter 5 for a different interpretation. Other conventions for the assigning the value of the Heaviside function at zero exist, and some of these are not consistent with what follows. Driggers, Ronald G. (2003), Encyclopedia of Optical Engineering, CRC Press, Bibcode:2003eoe..book.....D, ISBN 978-0-8247-0940-2. Bracewell, R. N. (1986), The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill, Bibcode:1986ftia.book.....B.
Bracewell 1986, Chapter 5. Bracewell, R. N. (1986), The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill, Bibcode:1986ftia.book.....B.
Lange 2012, pp.29–30. Lange, Rutger-Jan (2012), "Potential theory, path integrals and the Laplacian of the indicator", Journal of High Energy Physics, 2012 (11): 29–30, arXiv:1302.0864, Bibcode:2012JHEP...11..032L, doi:10.1007/JHEP11(2012)032, S2CID 56188533.
Bracewell 1986. Bracewell, R. N. (1986), The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill, Bibcode:1986ftia.book.....B.
de la Madrid, Bohm & Gadella 2002. de la Madrid, R.; Bohm, A.; Gadella, M. (2002), "Rigged Hilbert Space Treatment of Continuous Spectrum", Fortschr. Phys., 50 (2): 185–216, arXiv:quant-ph/0109154, Bibcode:2002ForPh..50..185D, doi:10.1002/1521-3978(200203)50:2<185::AID-PROP185>3.0.CO;2-S, S2CID 9407651.
Isham 1995, §6.2. Isham, C. J. (1995), Lectures on quantum theory: mathematical and structural foundations, Imperial College Press, Bibcode:1995lqtm.book.....I, ISBN 978-81-7764-190-5.

matematicamente.it

"Gugo82's comment on the distributional derivative of Dirac's delta". matematicamente.it. 12 September 2010.

scholar.google.com

de la Madrid Modino 2001, pp. 96, 106. de la Madrid Modino, R. (2001). Quantum mechanics in rigged Hilbert space language (PhD thesis). Universidad de Valladolid.

semanticscholar.org

api.semanticscholar.org

Laugwitz 1989, p. 230. Laugwitz, D. (1989), "Definite values of infinite sums: aspects of the foundations of infinitesimal analysis around 1820", Arch. Hist. Exact Sci., 39 (3): 195–245, doi:10.1007/BF00329867, S2CID 120890300.
Dirac, P. A. M. (January 1927). "The physical interpretation of the quantum dynamics". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 113 (765): 621–641. Bibcode:1927RSPSA.113..621D. doi:10.1098/rspa.1927.0012. ISSN 0950-1207. S2CID 122855515.
Lange 2012, pp.29–30. Lange, Rutger-Jan (2012), "Potential theory, path integrals and the Laplacian of the indicator", Journal of High Energy Physics, 2012 (11): 29–30, arXiv:1302.0864, Bibcode:2012JHEP...11..032L, doi:10.1007/JHEP11(2012)032, S2CID 56188533.
de la Madrid, Bohm & Gadella 2002. de la Madrid, R.; Bohm, A.; Gadella, M. (2002), "Rigged Hilbert Space Treatment of Continuous Spectrum", Fortschr. Phys., 50 (2): 185–216, arXiv:quant-ph/0109154, Bibcode:2002ForPh..50..185D, doi:10.1002/1521-3978(200203)50:2<185::AID-PROP185>3.0.CO;2-S, S2CID 9407651.
Laugwitz 1989. Laugwitz, D. (1989), "Definite values of infinite sums: aspects of the foundations of infinitesimal analysis around 1820", Arch. Hist. Exact Sci., 39 (3): 195–245, doi:10.1007/BF00329867, S2CID 120890300.

wolfram.com

mathworld.wolfram.com

worldcat.org

search.worldcat.org

Jackson, J. D. (2008-08-01). "Examples of the zeroth theorem of the history of science". American Journal of Physics. 76 (8): 704–719. arXiv:0708.4249. Bibcode:2008AmJPh..76..704J. doi:10.1119/1.2904468. ISSN 0002-9505.
Dirac, P. A. M. (January 1927). "The physical interpretation of the quantum dynamics". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 113 (765): 621–641. Bibcode:1927RSPSA.113..621D. doi:10.1098/rspa.1927.0012. ISSN 0950-1207. S2CID 122855515.
Hazewinkel 2011, p. 41. Hazewinkel, Michiel (2011). Encyclopaedia of mathematics. Vol. 10. Springer. ISBN 978-90-481-4896-7. OCLC 751862625.