Verfügbarkeit: The theory of Fourier series and integrals

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Bibliographische Detailangaben
Beteilige Person:	Walker, Peter L. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Chichester u.a. Wiley 1986
Schriftenreihe:	A Wiley-Interscience publication
Schlagwörter:	Fourier, Séries de Matematica Series (Matematica) Fourier series Harmonische Analyse Fourier-Integral Fourier-Reihe
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001512271&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 192 S. graph. Darst.
ISBN:	0471901121

Internformat

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Datensatz im Suchindex

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adam_text	Contents Preface vii Chapter 1 Fourier Coefficients and Fourier Series 1 1.1 Introduction 1 1.2 FC functions and their Fourier coefficients 3 1.3 Completeness 12 1.4 Mean square approximation 18 1.5 Convolution 22 Exercises 27 Chapter 2 Convergence Theory 29 2.1 Pointwise convergence 29 2.2 Uniform convergence 35 2.3 Behaviour near discontinuities 37 2.4 Piecewise monotone functions 41 2.5 Divergence of Fourier series 49 Exercises 51 Chapter 3 The Dirichlet Problem and the Poisson Integral ... 53 3.1 Harmonic functions 53 3.2 The Dirichlet problem and the Poisson integral 56 3.3 Applications to Fourier series 63 3.4 Harmonic conjugates 66 3.5 The Dirichlet problem in some other regions 71 3.6 Some applications of harmonic functions 79 Exercises 85 Chapter 4 Conjugate Functions and Conjugate Series 89 4.1 Conjugate series 89 4.2 Properties of the conjugate function 96 Exercises 99 v vi Chapter 5 The Fourier Integral 101 5.1 Introduction 101 5.2 The Fourier integral 106 5.3 Summability and inversion of the Fourier integral 115 5.4 Square integrable functions 121 5.5 The Dirichlet problem in the upper half plane, and the Hilbert transform 123 5.6 Some applications of the Fourier integral 131 Exercises 136 Chapter 6 Multiple Fourier Series and Integrals 139 6.1 FC and F V functions of several variables: Fourier coefficients and series 140 6.2 Convergence of multiple Fourier series 144 6.3 Multiple Fourier integrals 149 Exercises 154 Appendix A Some Results from Elementary Analysis 157 A.I Continuity and differentiation 157 A.2 Integration 160 A.3 Uniform convergence 167 A.4 Double series and integrals 176 Appendix B Some Definite Integrals 184 Appendix C Bibliography and Guide to Further Reading 189 Index 191
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language	English
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physical	VIII, 192 S. graph. Darst.
publishDate	1986
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publisher	Wiley
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series2	A Wiley-Interscience publication
spellingShingle	Walker, Peter L. The theory of Fourier series and integrals Fourier, Séries de Matematica larpcal Series (Matematica) larpcal Fourier series Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Integral (DE-588)4121290-3 gnd Fourier-Reihe (DE-588)4155109-6 gnd
subject_GND	(DE-588)4023453-8 (DE-588)4121290-3 (DE-588)4155109-6
title	The theory of Fourier series and integrals
title_auth	The theory of Fourier series and integrals
title_exact_search	The theory of Fourier series and integrals
title_full	The theory of Fourier series and integrals P. L. Walker
title_fullStr	The theory of Fourier series and integrals P. L. Walker
title_full_unstemmed	The theory of Fourier series and integrals P. L. Walker
title_short	The theory of Fourier series and integrals
title_sort	the theory of fourier series and integrals
topic	Fourier, Séries de Matematica larpcal Series (Matematica) larpcal Fourier series Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Integral (DE-588)4121290-3 gnd Fourier-Reihe (DE-588)4155109-6 gnd
topic_facet	Fourier, Séries de Matematica Series (Matematica) Fourier series Harmonische Analyse Fourier-Integral Fourier-Reihe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001512271&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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