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Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer
| Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer |
| Autore | Jaffard Stéphane <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina | 515/.84 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Wavelets (Mathematics)
Littlewood-Paley theory Microlocal analysis Signal processing - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0172-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480693303321 |
Jaffard Stéphane <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer
| Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer |
| Autore | Jaffard Stéphane <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina | 515/.84 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Wavelets (Mathematics)
Littlewood-Paley theory Microlocal analysis Signal processing - Mathematics |
| ISBN | 1-4704-0172-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788750603321 |
|
Jaffard Stéphane <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer
| Wavelet methods for pointwise regularity and local oscillations of functions / / Stéphane Jaffard, Yves Meyer |
| Autore | Jaffard Stéphane <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina | 515/.84 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Wavelets (Mathematics)
Littlewood-Paley theory Microlocal analysis Signal processing - Mathematics |
| ISBN | 1-4704-0172-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910817221603321 |
|
Jaffard Stéphane <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||