Fourier series in orthogonal polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1999
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 287 S. |
| ISBN: | 9810237871 |
Staff View
MARC
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Record in the Search Index
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| adam_text | COURIER UERI ORTHOGONAL I OLYNOMIALS WOIIS OSIIENKR MOSCOW STATE CIVIL
ENGINEERING UNIVERSITY WORLD SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON
* HONG KONG CONTENTS 1 PRELIMINARIES 1 1.1 NOTATIONS 1 1.2 SOME TOPICS
FROM FUNCTION THEORY OF A REAL VARIABLE 3 1.3 SOME TOPICS FROM
FUNCTIONAL ANALYSIS 24 1.4 INTERPOLATION THEOREMS. ESTIMATES OF THE
HARDY-LITTLEWOOD MAXI- MAL FUNCTION 33 2 ORTHOGONAL POLYNOMIALS AND
THEIR PROPERTIES 49 2.1 ORTHOGONAL SYSTEMS IN A HILBERT SPACE 49 2.2
ELEMENTARY PROPERTIES OF THE ORTHOGONAL POLYNOMIALS 59 2.3 JACOBI
POLYNOMIALS 80 2.4 SOME ESTIMATES OF THE ORTHOGONAL POLYNOMIALS 105 3
CONVERGENCE AND SUMMABILITY OF FOURIER SERIES IN L^ 121 3.1 FOURIER
SERIES IN AN ABSTRACT HILBERT SPACE 121 3.2 FUNDAMENTAL THEOREMS ON A
CONVERGENCE OF THE FOURIER SERIES IN O.N.S 124 3.3 BEHAVIOUR OF THE
PARTIAL SUMS OF FOURIER SERIES IN ORTHOGONAL POLY- NOMIALS 134 3.4 (C,
L)-SURAMABILITY ALMOST EVERYWHERE 143 4 FOURIER ORTHOGONAL SERIES IN L
(1 R OO) AND C 155 4.1 ON A DIVERGENT FOURIER SERIES OF THE
CONTINUOUS FUNCTIONS 155 4.2 ESTIMATES OF THE LEBESGUE A-FUNCTION 161
4.3 STRONG SUMMABILITY OF FOURIER POLYNOMIAL SERIES IN (R 1) . . .
179 4.4 LINEAR METHODS OF SUMMABILITY OF FOURIER POLYNOMIAL SERIES IN
L^R 1) AND C 184 5 FOURIER POLYNOMIAL SERIES IN L 1 ^. ANALOGS OF
FATOU THEOREMS 197 5.1 ON AN ALMOST EVERYWHERE DIVERGENCE OF ORTHOGONAL
EXPANSIONS . . . 197 5.2 ON LINEAR METHODS OF =VMMABILITY AT THE
LEBESGUE POINTS OF THE ORTHOGONAL POLYNOMIAL SERIES 201 VI CONTENTS 5.3
POISSON-ABEL S SUMMABILITY OF THE ORTHOGONAL POLYNOMIAL SERIES . . 215
5.4 ANALOG OF FATOU S THEOREM FOR DIFFERENTIATED FOURIER EXPANSIONS .
223 6 THE REPRESENTATIONS OF THE TRILINEAR KERNELS. GENERALIZED TRANSLA-
TION OPERATOR IN ORTHOGONAL POLYNOMIALS 231 6.1 THE REPRESENTATIONS OF
THE TRILINEAR KERNEL 231 6.2 A GENERALIZED PRODUCT FORMULA 241 6.3 A
CONSTRUCTION OF THE DOUBLE-HUMPBACKED MAJORANT . A GENERAL- IZED
TRANSLATION OPERATOR IN ORTHOGONAL POLYNOMIALS 248 NOTES 261 REFERENCES
267 AUTHOR INDEX 280 SUBJECT INDEX 283
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:33:07Z |
| institution | BVB |
| isbn | 9810237871 |
| language | English |
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| physical | VI, 287 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific |
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| spelling | Osilenker, Boris Verfasser aut Fourier series in orthogonal polynomials Boris Osilenker Singapore [u.a.] World Scientific 1999 VI, 287 S. txt rdacontent n rdamedia nc rdacarrier Fourier series Orthogonal polynomials Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008674303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Osilenker, Boris Fourier series in orthogonal polynomials Fourier series Orthogonal polynomials Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4155109-6 |
| title | Fourier series in orthogonal polynomials |
| title_auth | Fourier series in orthogonal polynomials |
| title_exact_search | Fourier series in orthogonal polynomials |
| title_full | Fourier series in orthogonal polynomials Boris Osilenker |
| title_fullStr | Fourier series in orthogonal polynomials Boris Osilenker |
| title_full_unstemmed | Fourier series in orthogonal polynomials Boris Osilenker |
| title_short | Fourier series in orthogonal polynomials |
| title_sort | fourier series in orthogonal polynomials |
| topic | Fourier series Orthogonal polynomials Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Fourier series Orthogonal polynomials Fourier-Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008674303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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