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An introduction to basic Fourier series

Author: S K Suslov
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, 2003.
Series: Developments in mathematics, v. 9.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

It was with the publication of Norbert Wiener's book ''The Fourier In- tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer- sity Press that the mathematical community came to  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S K Suslov
ISBN: 1402012217 9781402012211
OCLC Number: 51770250
Description: xv, 369 pages : illustrations ; 25 cm.
Contents: Foreword. Preface. 1: Introduction. 2: Basic Exponential and Trigonometric Functions. 3: Addition Theorems. 4: Some Expansions and Integrals. 5: Introduction of Basic Fourier Series. 6: Investigation of Basic Fourier Series. 7: Completeness of Basic Trigonometric Systems. 8: Improved Asymptotics of Zeros. 9: Some Expansions in Basic Fourier Series. 10: Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function. 11: Numerical Investigation of Basic Fourier Series. 12: Suggestions for Further Work. Appendix A: Selected Summation and Transformation Formulas and Integrals. A.1. Basic Hypergeometric Series. A.2. Selected Summation Formulas. A.3. Selected Transformation Formulas. A.4. Some Basic Integrals. Appendix B: Some Theorems of Complex Analysis. B.1. Entire Functions. B.2. Lagrange Inversion Formula. B.3. Dirichlet Series. B.4. Asymptotics. Appendix C: Tables of Zeros of Basic Sine and Cosine Functions. Appendix D: Numerical Examples of Improved Asymptotics. Appendix E: Numerical Examples of Euler-Rayleigh Method. Appendix F: Numerical Examples of Lower and Upper Bounds. Bibliography. Index.
Series Title: Developments in mathematics, v. 9.
Responsibility: Sergei K. Suslov.

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