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Autore: | Jaffard Stéphane <1962-> |
Titolo: | Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer |
Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
©1996 | |
Descrizione fisica: | 1 online resource (127 p.) |
Disciplina: | 515/.84 |
Soggetto topico: | Wavelets (Mathematics) |
Littlewood-Paley theory | |
Microlocal analysis | |
Signal processing - Mathematics | |
Soggetto genere / forma: | Electronic books. |
Persona (resp. second.): | MeyerYves |
Note generali: | "September 1996, Volume 123, Number 587 (second of 4 numbers)." |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | ""Table of contents""; ""Introduction""; ""I. Modulus of continuity and two-microlocalization""; ""l.1 Modulus of continuity""; ""l.2 Pointwise smoothness and two-microlocalization""; ""l.3 Pseudodifferential operators and two-microlocalization""; ""l.4 Characterizations of two-microlocal spaces""; ""II. Singularities of functions in Sobolev spaces""; ""II.1 Hausdorff dimension of the singularities of functions in L[sup(p,s)]""; ""ll.2 Packing dimension of strong α-singularities""; ""ll.3 Singularities of BV functions""; ""ll.4 Sobolev regularity of trace functions"" |
""III. Wavelets and lacunary trigonometric series""""lll.1 Pointwise regularity of Hardy functions""; ""lll.2 Convergence and derivability of wavelet series""; ""IV. Properties of chirp expansions""; ""IV.1 Indefinitely oscillating functions and chirps""; ""IV.2 Characterization of chirps: statement of results""; ""IV.3 Proof of Theorem 5.2: (I) â?? (II)""; ""IV.4 Proof of Theorem 5.2: (II) â?? (I)""; ""IV.5 Proof of Theorem 5.2: (I) â?? (III)""; ""V. Trigonometric chirps""; ""V.1 Definition and statement of the main theorem""; ""V.2 Some asymptotic expansions""; ""V.3 Proof of Theorem 5.1"" | |
""VI. Logarithmic chirps""""VII. The Riemann series""; ""VII.1 Trigonometric chirps at rationals""; ""VII.2 Logarithmic chirps at quadratic irrationals""; ""References""; ""Index""; ""Notations"" | |
Titolo autorizzato: | Wavelet methods for pointwise regularity and local oscillations of functions |
ISBN: | 1-4704-0172-X |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910480693303321 |
Lo trovi qui: | Univ. Federico II |
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