Fourier series: a modern introduction/ (Record no. 184958)
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000 -LEADER | |
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fixed length control field | 00372nam a2200145Ia 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 1461381584 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | CUS |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.2433 |
Item number | EDW/F |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Edwards, R. E. |
245 #0 - TITLE STATEMENT | |
Title | Fourier series: a modern introduction/ |
Statement of responsibility, etc. | R. E. Edwards |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd. ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | New York : |
Name of publisher, distributor, etc. | Springer, |
Date of publication, distribution, etc. | 1982. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 2 v. (369p.) : |
Dimensions | 24cm. |
440 ## - SERIES | |
Title | Graduate texts in mathematics, 85. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 11 Spans of Translates. Closed Ideals. Closed Subalgebras. Banach Algebras --<br/>11.1 Closed Invariant Subspaces and Closed Ideals --<br/>11.2 The Structure of Closed Ideals and Related Topics --<br/>11.3 Closed Subalgebras --<br/>11.4 Banach Algebras and Their Applications --<br/>Exercises --<br/>12 Distributions and Measures --<br/>12.1 Concerning C? --<br/>12.2 Definition and Examples of Distributions and Measures --<br/>12.3 Convergence of Distributions --<br/>12.4 Differentiation of Distributions --<br/>12.5 Fourier Coefficients and Fourier Series of Distributions --<br/>12.6 Convolutions of Distributions --<br/>12.7 More about M and Lp --<br/>12.8 Hilbert's Distribution and Conjugate Series --<br/>12.9 The Theorem of Marcel Riesz --<br/>12.10 Mean Convergence of Fourier Series in LP (1 <p <?) --<br/>12.11 Pseudomeasures and Their Applications --<br/>12.12 Capacities and Beurling's Problem --<br/>12.13 The Dual Form of Bochner's Theorem --<br/>Exercises --<br/>13 Interpolation Theorems --<br/>13.1 Measure Spaces --<br/>13.2 Operators of Type (p, q) --<br/>13.3 The Three Lines Theorem --<br/>13.4 The Riesz-Thorin Theorem --<br/>13.5 The Theorem of Hausdorff-Young --<br/>13.6 An Inequality of W.H. Young --<br/>13.7 Operators of Weak Type --<br/>13.8 The Marcinkiewicz Interpolation Theorem --<br/>13.9 Application to Conjugate Functions --<br/>13.10 Concerning?*f and s*f --<br/>13.11 Theorems of Hardy and Littlewood, Marcinkiewicz and Zygmund --<br/>Exercises --<br/>14 Changing Signs of Fourier Coefficients --<br/>14.1 Harmonic Analysis on the Cantor Group --<br/>14.2 Rademacher Series Convergent in L2 --<br/>14.3 Applications to Fourier Series --<br/>14.4 Comments on the Hausdorff-Young Theorem and Its Dual --<br/>14.5 A Look at Some Dual Results and Generalizations --<br/>Exercises --<br/>15 Lacunary Fourier Series --<br/>15.1 Introduction of Sidon Sets --<br/>15.2 Construction and Examples of Sidon Sets --<br/>15.3 Further Inequalities Involving Sidon Sets --<br/>15.4 Counterexamples concerning the Parseval Formula and Hausdorff-Young Inequalities --<br/>15.5 Sets of Type (p, q) and of Type?(p) --<br/>15.6 Pointwise Convergence and Related Matters --<br/>15.7 Dual Aspects: Helson Sets --<br/>15. 8 Other Species of Lacunarity --<br/>Exercises --<br/>16 Multipliers --<br/>16.1 Preliminaries --<br/>16.2 Operators Commuting with Translations and Convolutions; m-operators --<br/>16.3 Representation Theorems for m-operators --<br/>16.4 Multipliers of Type (LP, Lq) --<br/>16.15 A Theorem of Kaczmarz --<br/>Stein --<br/>16.6 Banach Algebras Applied to Multipliers --<br/>16.7 Further Developments --<br/>16.8 Direct Sum Decompositions and Idempotent Multipliers --<br/>16.9 Absolute Multipliers --<br/>16.10 Multipliers of Weak Type (p, p) -- |
650 ## - SUBJECT | |
Keyword | Mathematics. |
650 ## - SUBJECT | |
Keyword | Topological groups. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | General Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Serial Enumeration / chronology | Full call number | Accession number | Date last seen | Koha item type |
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Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | v.2 | 515.2433 EDW/F | P39970 | 29/08/2016 | General Books |