Exercises for Fourier analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2002
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| Ausgabe: | transferred to digital printing |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 385 S. Diagramme |
| ISBN: | 9780521438490 0521438497 0521432766 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804142759944126464 |
|---|---|
| adam_text | CONTENTS Preface 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 23 27 28 29 30 31 32 33 Introduction Proof of Fejér’s theorem Weyl’s equidistribution theorem The Weierstrass polynomial approximation theorem A second proof of Weierstrass’s theorem Hausdorffs moment problem The importance of linearity Compass and tides The simplest convergence theorem The rate of convergence A nowhere differentiable function Reactions Monte Carlo methods Pointwise convergence Behaviour at points of discontinuity I Behaviour at points of discontinuity II A Fourier series divergent at a point Pointwise convergence, the answer The undisturbed damped oscillator does not explode The disturbed damped linear oscillator does not explode The linear damped oscillator with periodic input Poisson summation Dirichlet’s problem Potential theory with smoothness assumptions An example of Hadamard Potential theory without smoothness assumptions Mean square approximation I Mean square approximation II ix 1 9 11 18 25 30 32 34 39 41 46 49 51 53 55 59 63 82 85 95 97 100 106 107 111 114 122 133 v
vi 34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 57 59 60 63 64 71 72 73 74 75 76 77 79 80 81 82 86 87 89 94 95 97 Exercises for Fourier analysis Mean square convergence The isoperimetric problem I The isoperimetric problem II The Sturm-Liouville equation I Liouville The Sturm-Liouville equation II Orthogonal polynomials Gaussian quadrature Tchebychev and uniform approximation I The existence of the best approximation Tchebychev and uniform approximation II Introduction to Fourier transforms Change in the order of integration I Change in the order of integration II Fejér’s theorem for Fourier transforms Sums of independent random variables Convolution Convolution on T Differentiation under the integral Lord Kelvin The heat equation The age of the earth II Weierstrass’s proof of Weierstrass’s theorem The inversion formula A second approach The wave equation The central limit theorem II Stability and control Instability The Laplace transform Deeper properties Poles and stability A simple time delay equation Many dimensions Sums of random vectors A chi squared test Haldane on fraud Will a random walk return? Will a Brownian motion return? Will a Brownian motion tangle? Why do we compute? The diameter of stars Fourier analysis on the roots of unity 135 140 141 142 144 157 164 168 171 178 179 190 191 192 195 197 199 200 206 211 212 216 219 220 244 245 246 247 248 255 262 284 293 298 306 307 310 311 313 314 315 321 326
Contents 99 102 103 104 105 107 108 109 How fast can we multiply? A good code? A little more group theory Fourier analysis on finite Abelian groups A formula of Euler Primes in some arithmetical progressions Extension from real to complex variable Primes in general arithmetical progressions Appendixes A, B, G References Index vii 331 335 336 345 347 349 351 358 366 378 381
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| any_adam_object | 1 |
| author | Körner, T. W. 1946- |
| author_GND | (DE-588)120225379 |
| author_facet | Körner, T. W. 1946- |
| author_role | aut |
| author_sort | Körner, T. W. 1946- |
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| building | Verbundindex |
| bvnumber | BV025580774 |
| classification_rvk | SK 450 |
| ctrlnum | (OCoLC)917641056 (DE-599)BVBBV025580774 |
| discipline | Mathematik |
| edition | transferred to digital printing |
| format | Book |
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| indexdate | 2024-07-09T22:36:53Z |
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| isbn | 9780521438490 0521438497 0521432766 |
| language | English |
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| physical | X, 385 S. Diagramme |
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| publisher | Cambridge Univ. Press |
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| spelling | Körner, T. W. 1946- Verfasser (DE-588)120225379 aut Exercises for Fourier analysis T. W. Körner transferred to digital printing Cambridge Cambridge Univ. Press 2002 X, 385 S. Diagramme txt rdacontent n rdamedia nc rdacarrier Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Harmonische Analyse (DE-588)4023453-8 s DE-604 Fourier-Reihe (DE-588)4155109-6 s Fourier-Transformation (DE-588)4018014-1 s Erscheint auch als Online-Ausgabe 978-0-511-60871-1 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020178151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Körner, T. W. 1946- Exercises for Fourier analysis Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4018014-1 (DE-588)4155109-6 (DE-588)4143389-0 |
| title | Exercises for Fourier analysis |
| title_auth | Exercises for Fourier analysis |
| title_exact_search | Exercises for Fourier analysis |
| title_full | Exercises for Fourier analysis T. W. Körner |
| title_fullStr | Exercises for Fourier analysis T. W. Körner |
| title_full_unstemmed | Exercises for Fourier analysis T. W. Körner |
| title_short | Exercises for Fourier analysis |
| title_sort | exercises for fourier analysis |
| topic | Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Harmonische Analyse Fourier-Transformation Fourier-Reihe Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020178151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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