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" Functional analysis / "
Walter Rudin.
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BL
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| Record Number
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871874
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| Main Entry
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Rudin, Walter,1921-2010
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| Title & Author
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Functional analysis /\ Walter Rudin.
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| Edition Statement
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Second edition.
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| Publication Statement
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New York :: McGraw-Hill,, [1991]
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, ©1991
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| Series Statement
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International series in pure and applied mathematics
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| Page. NO
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xv, 424 pages ;; 24 cm.
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| ISBN
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0070542368
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: 0070619883
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: 0071009442
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: 711113415X
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: 9780070542365
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: 9780070619883
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: 9780071009447
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: 9787111134152
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9780070542363
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| Bibliographies/Indexes
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Includes bibliographical references (pages 412-413) and index.
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| Contents
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pt. I. General theory. 1. Topological vector spaces -- 2. Completeness -- 3. Convexity -- 4. Duality in Banach spaces -- 5. Some applications -- pt. II. Distributions and Fourier transforms. 6. Test functions and distributions -- 7. Fourier transforms -- 8. Applications to differential equations -- 9. Tauberian theory -- pt. III. Banach algebras and spectral theory. 10. Banach algebras -- 11. Commutative Banach algebras -- 12. Bounded operators on a Hilbert space -- 13. Unbounded operators.
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| Abstract
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This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
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| Subject
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Functional analysis.
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Análisis funcional.
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Functional analysis.
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Analyse fonctionnelle.
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Functional analysis.
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Funktionalanalysis
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Functionaalanalyse.
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| Dewey Classification
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515/.7
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| LC Classification
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QA320.R83 1991
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| NLM classification
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*46-02msc
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*46-02.msc
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31.46bcl
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MAT 460fstub
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MAT 460f.stub
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SK 600rvk
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SK 600.rvk
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