Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer

• Autore: Jaffard Stéphane <1962->
• 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
• Serie: Memoirs of the American Mathematical Society ; ; Volume 123, Number 587.