Wavelet methods for pointwise regularity and local oscillations of functions:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
587 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | Volume 123, Number 587 (second of 4 numbers) |
| Umfang: | IX, 110 S. |
| ISBN: | 0821804758 |
Internformat
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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 | |
| 300 | |a IX, 110 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 587 | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1565470 |
|---|---|
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| 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
|
| any_adam_object | 1 |
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| building | Verbundindex |
| bvnumber | BV011122074 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246281913 (DE-599)BVBBV011122074 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011122074 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:06:39Z |
| institution | BVB |
| isbn | 0821804758 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007451963 |
| oclc_num | 246281913 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-824 DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | IX, 110 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| 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 |
| work_keys_str_mv | AT jaffardstephane waveletmethodsforpointwiseregularityandlocaloscillationsoffunctions AT meyeryves waveletmethodsforpointwiseregularityandlocaloscillationsoffunctions |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-586/589 Lageplan |
|---|---|
| Exemplar 1 |
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