Spectral theory (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Spectral theory" in English language version.

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books.google.com

Jean Alexandre Dieudonné (1981). History of functional analysis. Elsevier. ISBN 0-444-86148-3.
William Arveson (2002). "Chapter 1: spectral theory and Banach algebras". A short course on spectral theory. Springer. ISBN 0-387-95300-0.
Viktor Antonovich Sadovnichiĭ (1991). "Chapter 4: The geometry of Hilbert space: the spectral theory of operators". Theory of Operators. Springer. p. 181 et seq. ISBN 0-306-11028-8.
John von Neumann (1996). The mathematical foundations of quantum mechanics; Volume 2 in Princeton Landmarks in Mathematics series (Reprint of translation of original 1932 ed.). Princeton University Press. ISBN 0-691-02893-1.
Nicholas Young (1988). An introduction to Hilbert space. Cambridge University Press. p. 3. ISBN 0-521-33717-8.
Jean-Luc Dorier (2000). On the teaching of linear algebra; Vol. 23 of Mathematics education library. Springer. ISBN 0-7923-6539-9.
Edgar Raymond Lorch (2003). Spectral Theory (Reprint of Oxford 1962 ed.). Textbook Publishers. p. 89. ISBN 0-7581-7156-0.
Nicholas Young (1988-07-21). op. cit. Cambridge University Press. p. 81. ISBN 0-521-33717-8.
Helmut H. Schaefer; Manfred P. H. Wolff (1999). Topological vector spaces (2nd ed.). Springer. p. 36. ISBN 0-387-98726-6.
Dmitriĭ Petrovich Zhelobenko (2006). Principal structures and methods of representation theory. American Mathematical Society. ISBN 0821837311.
Edgar Raymond Lorch (2003). "Chapter III: Hilbert Space". Spectral Theory. Textbook Publishers. p. 57. ISBN 0-7581-7156-0.
Edgar Raymond Lorch (2003). "Chapter V: The Structure of Self-Adjoint Transformations". Spectral Theory. Textbook Publishers. p. 106 ff. ISBN 0-7581-7156-0.
Bernard Friedman (1990). Principles and Techniques of Applied Mathematics (Reprint of 1956 Wiley ed.). Dover Publications. p. 26. ISBN 0-486-66444-9.
PAM Dirac (1981). The principles of quantum mechanics (4th ed.). Oxford University Press. p. 29 ff. ISBN 0-19-852011-5.
Jürgen Audretsch (2007). "Chapter 1.1.2: Linear operators on the Hilbert space". Entangled systems: new directions in quantum physics. Wiley-VCH. p. 5. ISBN 978-3-527-40684-5.
R. A. Howland (2006). Intermediate dynamics: a linear algebraic approach (2nd ed.). Birkhäuser. p. 69 ff. ISBN 0-387-28059-6.
Bernard Friedman (1990). "Chapter 2: Spectral theory of operators". op. cit. Dover Publications. p. 57. ISBN 0-486-66444-9.
See discussion in Dirac's book referred to above, and Milan Vujičić (2008). Linear algebra thoroughly explained. Springer. p. 274. ISBN 978-3-540-74637-9.
See, for example, the fundamental text of John von Neumann (1955). op. cit. Princeton University Press. ISBN 0-691-02893-1. {{cite book}}: ISBN / Date incompatibility (help) and Arch W. Naylor, George R. Sell (2000). Linear Operator Theory in Engineering and Science; Vol. 40 of Applied mathematical science. Springer. p. 401. ISBN 0-387-95001-X., Steven Roman (2008). Advanced linear algebra (3rd ed.). Springer. ISBN 978-0-387-72828-5., I︠U︡riĭ Makarovich Berezanskiĭ (1968). Expansions in eigenfunctions of selfadjoint operators; Vol. 17 in Translations of mathematical monographs. American Mathematical Society. ISBN 0-8218-1567-9.
See for example, Gerald B Folland (2009). "Convergence and completeness". Fourier Analysis and its Applications (Reprint of Wadsworth & Brooks/Cole 1992 ed.). American Mathematical Society. pp. 77 ff. ISBN 978-0-8218-4790-9.
PAM Dirac (1981). op. cit. Clarendon Press. p. 60 ff. ISBN 0-19-852011-5.
Bernard Friedman (1956). op. cit. Dover Publications. p. 214, Eq. 2.14. ISBN 0-486-66444-9. {{cite book}}: ISBN / Date incompatibility (help)
For example, see Sadri Hassani (1999). "Chapter 20: Green's functions in one dimension". Mathematical physics: a modern introduction to its foundations. Springer. p. 553 et seq. ISBN 0-387-98579-4. and Qing-Hua Qin (2007). Green's function and boundary elements of multifield materials. Elsevier. ISBN 978-0-08-045134-3.

kcl.ac.uk

E. Brian Davies, quoted on the King's College London analysis group website "Research at the analysis group".

stolaf.edu

Steen, Lynn Arthur. "Highlights in the History of Spectral Theory" (PDF). St. Olaf College. Archived from the original (PDF) on 4 March 2016. Retrieved 14 December 2015.

unito.it

dm.unito.it

Cf. Spectra in mathematics and in physics Archived 2011-07-27 at the Wayback Machine by Jean Mawhin, p.4 and pp. 10-11.

web.archive.org

Steen, Lynn Arthur. "Highlights in the History of Spectral Theory" (PDF). St. Olaf College. Archived from the original (PDF) on 4 March 2016. Retrieved 14 December 2015.
Cf. Spectra in mathematics and in physics Archived 2011-07-27 at the Wayback Machine by Jean Mawhin, p.4 and pp. 10-11.

yale.edu

cs.yale.edu

Spielman, Daniel A. "Lecture Notes on Spectral Graph Theory" Yale University (2012) http://cs.yale.edu/homes/spielman/561/ .