Wavelet methods for pointwise regularity and local oscillations of functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
587 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 123, Number 587 (second of 4 numbers) |
| Beschreibung: | IX, 110 S. |
| ISBN: | 0821804758 |
Internformat
MARC
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| 245 | 1 | 0 | |a Wavelet methods for pointwise regularity and local oscillations of functions |c Stéphane Jaffard ; Yves Meyer |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1996 | |
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Datensatz im Suchindex
| _version_ | 1804125613185826816 |
|---|---|
| adam_text | Table of contents
Introduction p. 1
I. Modulus of continuity and two microlocalization p. 8
1.1 Modulus of continuity p. 8
1.2 Pointwise smoothness and two microlocalization p. 14
1.3 Pseudodifferential operators and two microlocalization p. 22
1.4 Characterizations of two microlocal spaces p. 25
II Singularities of functions in Sobolev spaces p. 30
II. 1 Hausdorff dimension of the singularities of functions in Lp 8 p. 32
11.2 Packing dimension of strong a singularities p. 37
11.3 Singularities of BV functions p. 41
IL4 Sobolev regularity of trace functions p. 44
III Wavelets and lacunary trigonometric series p. 48
111.1 Pointwise regularity of Hardy functions p. 48
111.2 Convergence and derivability of wavelet series p. 52
IV Properties of chirp expansions p. 56
rV.l Indefinitely oscillating functions and chirps p, 56
IV.2 Characterization of chirps: statement of results p. 60
IV.3 Proof of Theorem 5.2: (I) =» (II) p. 65
IV.4 Proof of Theorem 5.2: (II) =? (I) p. 66
IV.5 Proof of Theorem 5.2: (/) £ (III) p. 70
V Trigonometric chirps p. 72
V.I Definition and statement of the main theorem p. 72
V.2 Some asymptotic expansions p. 75
V.3 Proof of Theorem 5.1 p. 81
VI Logarithmic chirps p. 89
VII The Riemann series p. 96
VII. 1 Trigonometric chirps at rationals p. 96
VII.2 Logarithmic chirps at quadratic irrationals p. 102
vii
viii Contents
References p. 106
Index p. 109
Notations p. 110
|
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| author | Jaffard, Stéphane 1962- Meyer, Yves 1939- |
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| bvnumber | BV011122074 |
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| ctrlnum | (OCoLC)246281913 (DE-599)BVBBV011122074 |
| discipline | Mathematik |
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| id | DE-604.BV011122074 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:20Z |
| institution | BVB |
| isbn | 0821804758 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007451963 |
| oclc_num | 246281913 |
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| physical | IX, 110 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Jaffard, Stéphane 1962- Verfasser (DE-588)114599783X aut Wavelet methods for pointwise regularity and local oscillations of functions Stéphane Jaffard ; Yves Meyer Providence, RI American Math. Soc. 1996 IX, 110 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 587 Volume 123, Number 587 (second of 4 numbers) Nichtlineare Wellengleichung (DE-588)4042104-1 gnd rswk-swf Mikrolokale Analysis (DE-588)4169832-0 gnd rswk-swf Littlewood-Paley-Theorem (DE-588)4352642-1 gnd rswk-swf Nichtlineare Wellengleichung (DE-588)4042104-1 s Mikrolokale Analysis (DE-588)4169832-0 s DE-604 Littlewood-Paley-Theorem (DE-588)4352642-1 s Meyer, Yves 1939- Verfasser (DE-588)1033203629 aut American Mathematical Society: Memoirs of the American Mathematical Society 587 (DE-604)BV008000141 587 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007451963&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jaffard, Stéphane 1962- Meyer, Yves 1939- Wavelet methods for pointwise regularity and local oscillations of functions American Mathematical Society: Memoirs of the American Mathematical Society Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Mikrolokale Analysis (DE-588)4169832-0 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd |
| subject_GND | (DE-588)4042104-1 (DE-588)4169832-0 (DE-588)4352642-1 |
| title | Wavelet methods for pointwise regularity and local oscillations of functions |
| title_auth | Wavelet methods for pointwise regularity and local oscillations of functions |
| title_exact_search | Wavelet methods for pointwise regularity and local oscillations of functions |
| title_full | Wavelet methods for pointwise regularity and local oscillations of functions Stéphane Jaffard ; Yves Meyer |
| title_fullStr | Wavelet methods for pointwise regularity and local oscillations of functions Stéphane Jaffard ; Yves Meyer |
| title_full_unstemmed | Wavelet methods for pointwise regularity and local oscillations of functions Stéphane Jaffard ; Yves Meyer |
| title_short | Wavelet methods for pointwise regularity and local oscillations of functions |
| title_sort | wavelet methods for pointwise regularity and local oscillations of functions |
| topic | Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Mikrolokale Analysis (DE-588)4169832-0 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd |
| topic_facet | Nichtlineare Wellengleichung Mikrolokale Analysis Littlewood-Paley-Theorem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007451963&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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