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Record Nr. |
UNINA9910480693303321 |
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Autore |
Jaffard Stéphane <1962-> |
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Titolo |
Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1996 |
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©1996 |
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ISBN |
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Descrizione fisica |
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1 online resource (127 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 123, Number 587 |
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Disciplina |
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Soggetti |
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Wavelets (Mathematics) |
Littlewood-Paley theory |
Microlocal analysis |
Signal processing - Mathematics |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1996, Volume 123, Number 587 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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 |
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