Fourier series: a modern introduction/ (Record no. 184957)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00371nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1461262100 |
| 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. | 1979. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 v. (224p.) : |
| Dimensions | 24cm. |
| 440 ## - SERIES | |
| Title | Graduate texts in mathematics, 64. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Trigonometric Series and Fourier Series.- <br/>1.1 The Genesis of Trigonometric Series and Fourier Series.- <br/>1.2 Pointwise Representation of Functions by Trigonometric Series.- <br/>1.3 New Ideas about Representation.- Exercises.- <br/>2 Group Structure and Fourier Series.- <br/>2.1 Periodic Functions.- <br/>2.2 Translates of Functions. Characters and Exponentials. The Invariant Integral.- <br/>2.3 Fourier Coefficients and Their Elementary Properties.- <br/>2.4 The Uniqueness Theorem and the Density of Trigonometric Polynomials.- <br/>2.5 Remarks on the Dual Problems.- Exercises.- <br/>3 Convolutions of Functions.- <br/>3.1 Definition and First Properties of Convolution.- <br/>3.2 Approximate Identities for Convolution.- <br/>3.3 The Group Algebra Concept.- <br/>3.4 The Dual Concepts.- Exercises.- <br/>4 Homomorphisms of Convolution Algebras.- <br/>4.1 Complex Homomorphisms and Fourier Coefficients.- <br/>4.2 Homomorphisms of the Group Algebra.- Exercises.- <br/>5 The Dirichlet and Fejer Kernels. Cesaro Summability.- <br/>5.1 The Dirichlet and Fejer Kernels.- <br/>5.2 The Localization Principle.- <br/>5.3 Remarks concerning Summability.- Exercises.- <br/>6 Cesaro Summability of Fourier Series and its Consequences.- <br/>6.1 Uniform and Mean Summability.- <br/>6.2 Applications and Corollaries of.1.1 90.- <br/>6.3 More about Pointwise Summability.- <br/>6.4 Pointwise Summability Almost Everywhere.- <br/>6.5 Approximation by Trigonometric Polynomials.- <br/>6.6 General Comments on Summability of Fourier Series.- <br/>6.7 Remarks on the Dual Aspects.- Exercises.- <br/>7 Some Special Series and Their Applications.- <br/>7.1 Some Preliminaries.- <br/>7.2 Pointwise Convergence of the Series (C) and (S).- <br/>7.3 The Series (C) and (S) as Fourier Series.- <br/>7.4 Application to A(Z).- <br/>7.5 Application to Factorization Problems.- Exercises.- <br/>8 Fourier Series in L2.- <br/>8.1 A Minimal Property.- <br/>8.2 Mean Convergence of Fourier Series in L2. Parseval's Formula.- <br/>8.3 The Riesz-Fischer Theorem.- <br/>8.4 Factorization Problems Again.- <br/>8.5 More about Mean Moduli of Continuity.- <br/>8.6 Concerning Subsequences of sNf.- <br/>8.7 A(Z) Once Again.- Exercises.- <br/>9 Positive Definite Functions and Bochner's Theorem.- <br/>9.1 Mise-en-Scene.- <br/>9.2 Toward the Bochner Theorem.- <br/>9.3 An Alternative Proof of the Parseval Formula.- <br/>9.4 Other Versions of the Bochner Theorem.- Exercises.- <br/>10 Pointwise Convergence of Fourier Series.- <br/>10.1 Functions of Bounded Variation and Jordan's Test.- <br/>10.2 Remarks on Other Criteria for Convergence; Dini's Test.- <br/>10.3 The Divergence of Fourier Series.- <br/>10.4 The Order of Magnitude of sNf. Pointwise Convergence Almost Everywhere.- <br/>10.5 More about the Parseval Formula.- <br/>10.6 Functions with Absolutely Convergent Fourier Series.- <br/>Exercises.- |
| 650 ## - SUBJECT | |
| Keyword | Mathematics. |
| 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | v.1 | 515.2433 EDW/F | P39969 | 29/08/2016 | General Books |