Hilbert uzayı: Revizyonlar arasındaki fark

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== Kaynakça ==
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*{{CitationKaynak | last1=Bachman | first1=George | last2=Narici | first2=Lawrence | last3=Beckenstein | first3=Edward | title=Fourier and wavelet analysis | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Universitext | isbn=978-0-387-98899-3 | mr=1729490 | year=2000}}.
* {{citationKaynak|title=Partial differential equations|first=Lipman|last= Bers|authorlink=Lipman Bers|first2=Fritz|last2= John|authorlink2=Fritz John|first3= Martin|last3= Schechter|publisher= American Mathematical Society|year=1981|isbn=0-8218-0049-3}}.
* {{citationKaynak|first=Nicolas|last=Bourbaki|authorlink=Nicolas Bourbaki|title=Spectral theories|series=Elements of mathematics|publisher= Springer-Verlag|publication-place=Berlin|year=1986|isbn=0-201-00767-3}}.
* {{citationKaynak|first=Nicolas|last=Bourbaki|authorlink=Nicolas Bourbaki|title=Topological vector spaces|series=Elements of mathematics|publisher= Springer-Verlag|publication-place=Berlin|year=1987|isbn=978-3-540-13627-9}}.
*{{citationKaynak| authorlink1 = Carl Benjamin Boyer|last1=Boyer|first1=Carl Benjamin|last2=Merzbach|first2=Uta C| year = 1991| title = A History of Mathematics| edition= 2nd| publisher = John Wiley & Sons, Inc.|isbn=0-471-54397-7}}.
* {{citationKaynak|first1=S.|last1=Brenner|first2=R. L.|last2=Scott|title=The Mathematical Theory of Finite Element Methods|edition=2nd|publisher=Springer|year=2005|isbn=0-387-95451-1}}.
* {{CitationKaynak | last1=Buttazzo | first1=Giuseppe | last2=Giaquinta | first2=Mariano | last3=Hildebrandt | first3=Stefan | title=One-dimensional variational problems | publisher=The Clarendon Press Oxford University Press | series=Oxford Lecture Series in Mathematics and its Applications | isbn=978-0-19-850465-8 | mr=1694383 | year=1998 | volume=15}}.
* {{citationKaynak|first=J. A.|last=Clarkson|title=Uniformly convex spaces|journal=Trans. Amer. Math. Soc.|volume=40|year=1936|pages=396–414|doi=10.2307/1989630|issue=3|jstor=1989630}}.
* {{citationKaynak|first=Richard|last=Courant|authorlink=Richard Courant|first2=David|last2=Hilbert|authorlink2=David Hilbert|title=Methods of Mathematical Physics, Vol. I|publisher=Interscience|year=1953}}.
* {{citationKaynak| first = Jean| last = Dieudonné| authorlink=Jean Dieudonné|title= Foundations of Modern Analysis|publisher = Academic Press| year= 1960}}.
* {{citationKaynak|first=P.A.M.|last=Dirac|authorlink=Paul Dirac|title=[[Principles of Quantum Mechanics]] |publisher=Clarendon Press|publication-place=Oxford|year=1930}}.
* {{citationKaynak|first1=N.|last1=Dunford|first2=J.T.|last2=Schwartz|authorlink2=Jacob T. Schwartz|title=Linear operators, Parts I and II|publisher=Wiley-Interscience|year=1958}}.
* {{citationKaynak|first=P.|last= Duren|title=Theory of H<sup>p</sup>-Spaces|year=1970|publisher= Academic Press|publication-place= New York}}.
<!--*{{CitationKaynak | last1=Feintuch | first1=Avraham | last2=Saeks | first2=Richard | title=System theory | publisher=Academic Press Inc. [Harcourt Brace Jovanovich Publishers] | location=London | series=Pure and Applied Mathematics | isbn=978-0-12-251750-1 | mr=663906 | year=1982 | volume=102}}.-->
*{{citationKaynak |title=Fourier analysis and its application |first=Gerald B.|last=Folland |url=http://books.google.com/books?as_isbn=0-8218-4790-2 |isbn=0-8218-4790-2 |publisher=American Mathematical Society Bookstore |year=2009 |edition=Reprint of Wadsworth and Brooks/Cole 1992}}.
* {{citationKaynak|first=Gerald B.|last=Folland|title=Harmonic analysis in phase space|series=Annals of Mathematics Studies|volume= 122|publisher=Princeton University Press|year= 1989|isbn= 0-691-08527-7}}.
* {{citationKaynak|first=Maurice|last=Fréchet|title=Sur les ensembles de fonctions et les opérations linéaires|journal=C. R. Acad. Sci. Paris|volume=144|pages=1414–1416|year=1907}}.
* {{citationKaynak|first=Maurice|last=Fréchet|title=Sur les opérations linéaires|year=1904–1907}}.
* {{citationKaynak|first=Enrico|last=Giusti|title=Direct Methods in the Calculus of Variations|publisher=World Scientific|year=2003|isbn=981-238-043-4}}.
* {{CitationKaynak | last1=Grattan-Guinness | first1=Ivor | title=The search for mathematical roots, 1870–1940 | publisher=[[Princeton University Press]] | series=Princeton Paperbacks | isbn=978-0-691-05858-0 | mr=1807717 | year=2000}}.
* {{citationKaynak| last =Halmos| first =Paul| authorlink=Paul Halmos|title=Introduction to Hilbert Space and the Theory of Spectral Multiplicity|year=1957|
publisher=Chelsea Pub. Co}}
* {{citationKaynak| last=Halmos|first=Paul|authorlink=Paul Halmos|title=A Hilbert Space Problem Book|year=1982|publisher=Springer-Verlag|isbn=0-387-90685-1}}.
* {{citationKaynak| last = Hewitt| first = Edwin| last2 = Stromberg| first2 = Karl| title = Real and Abstract Analysis| year = 1965| publisher = Springer-Verlag| location = New York}}.
* {{citationKaynak| last1=Hilbert| first1=David| authorlink1 = David Hilbert| last2=Nordheim| first2 = Lothar (Wolfgang)| authorlink2= Lothar Nordheim| last3= von Neumann| first3= John|authorlink3= John von Neumann| title = Über die Grundlagen der Quantenmechanik| url=http://dz-srv1.sub.uni-goettingen.de/sub/digbib/loader?ht=VIEW&did=D27779| journal = Mathematische Annalen| volume = 98| pages = 1–30| year = 1927| doi=10.1007/BF01451579}}.
* {{citationKaynak|first=Mark|last=Kac|authorlink=Mark Kac|title=Can one hear the shape of a drum?|journal=[[American Mathematical Monthly]]|volume=73|issue=4, part 2|year=1966|pages=1–23|doi=10.2307/2313748|jstor=2313748}}.
*{{CitationKaynak | last1=Kadison | first1=Richard V. | last2=Ringrose | first2=John R. | title=Fundamentals of the theory of operator algebras. Vol. I | publisher=[[American Mathematical Society]] | location=Providence, R.I. | series=Graduate Studies in Mathematics | isbn=978-0-8218-0819-1 | mr=1468229 | year=1997 | volume=15}}.
<!--* {{citationKaynak| title = Элементы теории функций и функционального анализа| last1 = Колмогоров| first1 = А. Н.| authorlink1 = Andrey Kolmogorov| last2= Фомин|first2= С. В.| authorlink2 = Sergei Fomin| year = 1989| edition = sixth Russian (with corrections)| publisher = "Nauka", Moscow| isbn= 5-02-013993-9}}.-->
*{{CitationKaynak | last1=Kakutani | first1=Shizuo | author1-link=Shizuo Kakutani | title=Some characterizations of Euclidean space | mr=0000895 | year=1939 | journal=Japanese Journal of Mathematics | volume=16 | pages=93–97}}.
*{{CitationKaynak | last1=Kline | first1=Morris | author1-link=Morris Kline | title=Mathematical thought from ancient to modern times, Volume 3 | year=1972 | publisher=[[Oxford University Press]] | edition=3rd | isbn=978-0-19-506137-6 | publication-date=1990}}.
* {{citationKaynak| title = Introductory Real Analysis| last1 = Kolmogorov| first1 = Andrey| authorlink1 = Andrey Kolmogorov| last2= Fomin|first2= Sergei V.| authorlink2 = Sergei Fomin| year = 1970| edition = Revised English edition, trans. by Richard A. Silverman (1975)| publisher = Dover Press| isbn= 0-486-61226-0}}.
* {{CitationKaynak | last1=Krantz | first1=Steven G. | authorlink=Steven Krantz|title=Function Theory of Several Complex Variables | publisher=[[American Mathematical Society]] | location=Providence, R.I. | isbn=978-0-8218-2724-6 | year=2002}}.
* {{citationKaynak |title=Applied analysis |first=Cornelius|last=Lanczos|isbn=0-486-65656-X |publisher=Dover Publications |year=1988 |edition=Reprint of 1956 Prentice-Hall |url=http://books.google.com/books?as_isbn=0-486-65656-X}}.
*{{CitationKaynak | last1=Lindenstrauss | first1=J. | last2=Tzafriri | first2=L. | title=On the complemented subspaces problem | mr=0276734 | year=1971 | journal=Israel Journal of Mathematics | issn=0021-2172 | volume=9 | pages=263–269 | doi=10.1007/BF02771592 | issue=2}}.
*{{MacTutor|class=HistTopics|id=Abstract_linear_spaces|title=Abstract linear spaces|date=1996}}.
*{{citationKaynak|first=Henri|last=Lebesgue|title=Leçons sur l'intégration et la recherche des fonctions primitives|url=http://books.google.com/?id=VfUKAAAAYAAJ&dq=%22Lebesgue%22%20%22Le%C3%A7ons%20sur%20l'int%C3%A9gration%20et%20la%20recherche%20des%20fonctions%20...%22&pg=PA1#v=onepage&q=|year=1904|publisher=Gauthier-Villars}}.
* {{springer|id=H/h047380|title=Hilbert space|author=B.M. Levitan}}.
* {{CitationKaynak | last1=Marsden | first1=Jerrold E. | author1-link=Jerrold E. Marsden | title=Elementary classical analysis | publisher=W. H. Freeman and Co. | mr=0357693 | year=1974}}.
* {{citationKaynak| last=Prugovečki|first=Eduard|title=Quantum mechanics in Hilbert space|publisher=Dover|edition=2nd|year=1981|publication-date=2006|isbn=978-0-486-45327-9}}.
* {{citationKaynak|first=Michael|last=Reed|authorlink=Michael Reed|first2=Barry|last2=Simon|authorlink2=Barry Simon|series=Methods of Modern Mathematical Physics|title=Functional Analysis|publisher=Academic Press|year=1980|isbn= 0-12-585050-6}}.
* {{citationKaynak|first=Michael|last=Reed|authorlink=Michael Reed|first2=Barry|last2=Simon|authorlink2=Barry Simon|title=Fourier Analysis, Self-Adjointness|series=Methods of Modern Mathematical Physics|publisher=Academic Press|year=1975|isbn=01258500026 }}. {{Please check ISBN|reason=Invalid length.}}
* {{citationKaynak| first=Frigyes|last=Riesz|authorlink=Frigyes Riesz|title=Sur une espèce de Géométrie analytique des systèmes de fonctions sommables|journal=C. R. Acad. Sci. Paris|volume=144|pages=1409–1411|year=1907}}.
* {{citationKaynak|first=Frigyes|last=Riesz|authorlink=Frigyes Riesz|title=Zur Theorie des Hilbertschen Raumes|journal=Acta Sci. Math. Szeged|volume=7|pages=34–38|year=1934}}.
* {{citationKaynak|first=Frigyes|last=Riesz|authorlink=Frigyes Riesz|first2=Béla|last2=Sz.-Nagy|authorlink2=Béla Szőkefalvi-Nagy|title=Functional analysis|publisher=Dover|year=1990|isbn= 0-486-66289-6}}.
* {{citationKaynak| first=Walter|last=Rudin|authorlink=Walter Rudin|title=Functional analysis|publisher=Tata MacGraw-Hill|year=1973}}.
*{{citationKaynak|first=Walter|last=Rudin|authorlink=Walter Rudin|title=Real and Complex Analysis|year=1987|publisher=McGraw-Hill|isbn=0-07-100276-6}}.
* {{citationKaynak|first=Stanisław|last=Saks|authorlink=Stanisław Saks|title=Theory of the integral|publisher=Dover|year=2005|edition=2nd Dover|isbn=978-0-486-44648-6}}; originally published ''Monografje Matematyczne'', vol. 7, Warszawa, 1937.
* {{citationKaynak| last=Schmidt| first=Erhard|authorlink=Erhard Schmidt|title=Über die Auflösung linearer Gleichungen mit unendlich vielen Unbekannten|journal=Rend. Circ. Mat. Palermo|volume=25|pages=63–77|year=1908| doi=10.1007/BF03029116}}.
*{{CitationKaynak | last1=Shubin | first1=M. A. | title=Pseudodifferential operators and spectral theory | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Springer Series in Soviet Mathematics | isbn=978-3-540-13621-7 | mr=883081 | year=1987}}.
*{{CitationKaynak | last1=Sobrino | first1=Luis | title=Elements of non-relativistic quantum mechanics | publisher=World Scientific Publishing Co. Inc. | location=River Edge, NJ | isbn=978-981-02-2386-1 | mr=1626401 | year=1996}}.
* {{citationKaynak|title=Calculus: Concepts and Contexts|edition=3rd|first=James|last=Stewart|publisher=Thomson/Brooks/Cole|year=2006}}.
*{{citationKaynak|last=Stein|first=E|title= Singular Integrals and Differentiability Properties of Functions, |publisher=Princeton Univ. Press|year=1970| isbn= 0-691-08079-8}}.
*{{citationKaynak|last1=Stein|first1=Elias|authorlink1=Elias Stein|first2=Guido|last2=Weiss|authorlink2=Guido Weiss|title=Introduction to Fourier Analysis on Euclidean Spaces|publisher=Princeton University Press|year=1971|isbn=978-0-691-08078-9|location=Princeton, N.J.}}.
* {{citationKaynak|last1=Streater|first1=Ray|authorlink1=Ray Streater|last2=Wightman|first2=Arthur|authorlink2=Arthur Wightman|title= PCT, Spin and Statistics and All That|year=1964|publisher=W. A. Benjamin, Inc}}.
* {{citationKaynak| last=Titchmarsh|first=Edward Charles|authorlink=Edward Charles Titchmarsh|title=Eigenfunction expansions, part 1|year=1946|publisher=Clarendon Press|publication-place=Oxford University}}.
*{{citationKaynak|first=François|last=Trèves|title=Topological Vector Spaces, Distributions and Kernels|publisher=Academic Press|year=1967}}.
* {{citationKaynak| last=von Neumann| first=John| authorlink=John von Neumann| title=Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren| journal=Mathematische Annalen| volume = 102| pages = 49–131| year = 1929| doi=10.1007/BF01782338}}.
* {{citationKaynak|first=John|last=von Neumann|authorlink=John von Neumann|title=Physical Applications of the Ergodic Hypothesis|year=1932|journal=Proc Natl Acad Sci USA|volume=18|pages=263–266|doi=10.1073/pnas.18.3.263|pmid=16587674|issue=3|pmc=1076204|jstor=86260|bibcode = 1932PNAS...18..263N }}.
*{{CitationKaynak | last1=von Neumann | first1=John | author1-link=John von Neumann | title=Mathematical foundations of quantum mechanics | publisher=[[Princeton University Press]] | series=Princeton Landmarks in Mathematics | isbn=978-0-691-02893-4 | mr=1435976 | publication-date=1996|year=1955}}.
*{{CitationKaynak | last1=Warner | first1=Frank | title=Foundations of Differentiable Manifolds and Lie Groups | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-0-387-90894-6 | year=1983}}.
*{{CitationKaynak | last1=Weidmann | first1=Joachim | title=Linear operators in Hilbert spaces | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-90427-6 | mr=566954 | year=1980 | volume=68}}.
* {{citationKaynak| last=Weyl| first=Hermann| authorlink=Hermann Weyl| title = The Theory of Groups and Quantum Mechanics| year = 1931| publisher = Dover Press| edition = English 1950| isbn= 0-486-60269-9}}.
* {{citationKaynak| last=Young|first=Nicholas|title=An introduction to Hilbert space|publisher=Cambridge University Press|year=1988|zbl=0645.46024|isbn=0-521-33071-8}}.
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