An introduction to harmonic analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dover Publ.
1976
|
| Ausgabe: | 2., corr. ed. |
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | Literaturverz.: S. 261-262 |
| Beschreibung: | XIV, 264 S. |
| ISBN: | 0486633314 |
Internformat
MARC
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| 100 | 1 | |a Katznelson, Yitzhak |d 1934- |e Verfasser |0 (DE-588)13598291X |4 aut | |
| 245 | 1 | 0 | |a An introduction to harmonic analysis |c Yitzhak Katznelson |
| 250 | |a 2., corr. ed. | ||
| 264 | 1 | |a New York |b Dover Publ. |c 1976 | |
| 300 | |a XIV, 264 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz.: S. 261-262 | ||
| 650 | 7 | |a Analise Harmonica |2 larpcal | |
| 650 | 4 | |a Analyse harmonique | |
| 650 | 4 | |a Harmonic analysis | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
chapter I Fourier Series on T 1
1. FOURIER COEFFICIENTS 2
2. SUMMABILITY IN NORM AND HOMO¬
GENEOUS BANACH SPACES ON T 8
3. POINTWISE CONVERGENCE OF ffn(/) 17
4. THE ORDER OF MAGNITUDE OF FOURIER
COEFFICIENTS 22
5. FOURIER SERIES OF SQUARE SUMMABLE
FUNCTIONS 27
6. ABSOLUTELY CONVERGENT FOURIER SERIES 31
7. FOURIER COEFFICIENTS OF LINEAR
FUNCTIONALS 34
chapter II The Convergence of Fourier Series 46
1. CONVERGENCE IN NORM 46
2. CONVERGENCE AND DIVERGENCE AT A
POINT 51
*3. SETS OF DIVERGENCE 55
chapter III The Conjugate Function and Functions
Analytic in the Unit Disc 62
1. THE CONJUGATE FUNCTION 62
*2. THE MAXIMAL FUNCTION OF HARDY
AND LITTLEWOOD 73
*3. THE HARDY SPACES 81
xi
xii An Introduction to Harmonic Analysis
chapter IV Interpolation of Linear Operators
and the Theorem of Hausdorff Young 93
1. INTERPOLATION OF NORMS AND OF
LINEAR OPERATORS 93
2. THE THEOREM OF HAUSDORFF YOUNG 98
chapter V Lacunary Series and Quasi analytic
Classes 104
1. LACUNARY SERIES 104
?2. QUASI ANALYTIC CLASSES 112
chapter VI Fourier Transforms on the Line 119
1. FOURIER TRANSFORMS FOR L R) 120
2. FOURIER STIELTJES TRANSFORMS 13
3. FOURIER TRANSFORMS IN L (R),
1 p ^ 2 139
4. TEMPERED DISTRIBUTIONS AND PSEUDO
MEASURES 146
5. ALMOST PERIODIC FUNCTIONS ON THE
LINE 155
6. THE WEAK STAR SPECTRUM OF
BOUNDED FUNCTIONS I70
7. THE PALEY WIENER THEOREMS 173
*8. THE FOURIER CARLEMAN TRANSFORM 179
9. KRONECKER S THEOREM 181
chapter VII Fourier Analysis on Locally Compact
Abelian Groups 186
1. LOCALLY COMPACT ABELIAN GROUPS 186
2. THE HAAR MEASURE 187
3. CHARACTERS AND THE DUAL GROUP 188
4. FOURIER TRANSFORMS I90
5. ALMOST PERIODIC FUNCTIONS AND THE
BOHR COMPACTIFICATION 191
Contents xiii
chapter VIII Commutative Banach Algebras 194
1. DEFINITION, EXAMPLES, AND ELEMEN¬
TARY PROPERTIES 194
2. MAXIMAL IDEALS AND MULTIPLICATIVE
LINEAR FUNCTIONALS 198
3. THE MAXIMAL IDEAL SPACE AND THE
GELFAND REPRESENTATION 205
4. HOMOMORPHISMS OF BANACH AL¬
GEBRAS 213
5. REGULAR ALGEBRAS 221
6. WIENER S GENERAL TAUBERIAN
THEOREM 226
7. SPECTRAL SYNTHESIS IN REGULAR
ALGEBRAS 229
8. FUNCTIONS THAT OPERATE IN REGULAR
BANACH ALGEBRAS 235
9. THE ALGEBRA A/(T) AND FUNCTIONS
THAT OPERATE ON FOURIER STIELTJES
COEFFICIENTS 244
10. THE USE OF TENSOR PRODUCTS 249
appendix Vector Valued Functions 257
Bibliography 261
Index 263
|
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| author | Katznelson, Yitzhak 1934- |
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| ctrlnum | (OCoLC)2542126 (DE-599)BVBBV017442056 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2., corr. ed. |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV017442056 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:18:06Z |
| institution | BVB |
| isbn | 0486633314 |
| language | English |
| lccn | 76003075 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010510523 |
| oclc_num | 2542126 |
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| owner | DE-29T DE-83 |
| owner_facet | DE-29T DE-83 |
| physical | XIV, 264 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Dover Publ. |
| record_format | marc |
| spelling | Katznelson, Yitzhak 1934- Verfasser (DE-588)13598291X aut An introduction to harmonic analysis Yitzhak Katznelson 2., corr. ed. New York Dover Publ. 1976 XIV, 264 S. txt rdacontent n rdamedia nc rdacarrier Literaturverz.: S. 261-262 Analise Harmonica larpcal Analyse harmonique Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Harmonische Analyse (DE-588)4023453-8 s DE-604 http://www.loc.gov/catdir/description/dover033/76003075.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010510523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Katznelson, Yitzhak 1934- An introduction to harmonic analysis Analise Harmonica larpcal Analyse harmonique Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4151278-9 |
| title | An introduction to harmonic analysis |
| title_auth | An introduction to harmonic analysis |
| title_exact_search | An introduction to harmonic analysis |
| title_full | An introduction to harmonic analysis Yitzhak Katznelson |
| title_fullStr | An introduction to harmonic analysis Yitzhak Katznelson |
| title_full_unstemmed | An introduction to harmonic analysis Yitzhak Katznelson |
| title_short | An introduction to harmonic analysis |
| title_sort | an introduction to harmonic analysis |
| topic | Analise Harmonica larpcal Analyse harmonique Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Analise Harmonica Analyse harmonique Harmonic analysis Harmonische Analyse Einführung |
| url | http://www.loc.gov/catdir/description/dover033/76003075.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010510523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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