Meyer Y., Coifman R. — Wavelets. Calderon-Zygmund and multilinear operators :: Электронная библиотека попечительского совета мехмата МГУ

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Meyer Y., Coifman R. — Wavelets. Calderon-Zygmund and multilinear operators

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Название: Wavelets. Calderon-Zygmund and multilinear operators

Авторы: Meyer Y., Coifman R.

Аннотация:

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. This volume discusses the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases that have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 314

Добавлена в каталог: 26.11.2005

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Предметный указатель

      286
      39
$A_{\infty}$       37
      146
      286
(Wavelets and Operators      141) 13 18 22 145
      145
$S^0_{1,1}$       84 288
$S^0_{1,\delta}$       85
$S^{-\gamma}_{1,1}$       282
      25
$\dot{B}^s$       113
$\dot{B}^s_{p,q}$ (Wavelets and Operators      200) 82 114
$\dot{C}^s$       111
$\mathcal{A}$       66
$\mathcal{A}_{\gamma}$       68
$\mathcal{A}_{\infty}$       83
$\mathcal{B}$       66
$\mathcal{B}^1(\Omega)$       148
$\mathcal{B}^{\infty}(\Omega)$       148
$\mathcal{B}_{\infty}$       84 286
$\mathcal{M}_{\gamma}$       67
Accretive operator      128 227 232
Ahlfors regular curve      183
Atom of       18
Bergman space      148
Besov spaces (Wavelets and Operators      200) 64 70 82 114
Bloch space      148
BMO (Wavelets and Operators, 151)      13 19 22 50 57 73 91 126 142 145 152 207 216 218 239
Bourdaud’s algebra      84 286
Calderon — Zygmund decomposition      3 15
Calderon — Zygmund operator      8
Cauchy kernel      5 30 44 98 116 126 141 150 157 213
Charge density      108
Clifford algebra      153
Commutator      5 29 79 89 96 216
Cottar’s inequality      26 34
CZO      66
David’s theorem      183
Dirichlet problem      258
Distribution-kernel      8 45
Double-layer potential      116 259
Fractional integration      111

Good $\lambda$ inequalities      37
Hardy spaces (generalized)      157
Holder spaces      123 286
Holomorphic functional      196 210
Homogeneous Holder spaces      111
Homogeneous Sobolev spaces      112
Kato’s conjecture      237
Kenig’s theorem      175
Lavrentiev curve      110 184
Leibniz’s Rule      90 93
Lipschitz curve      5 30 44 98 115 141 150 158 213 256
Marcinkiewicz symbol      173
Maximal function      25
Method of rotations      105
Muckenhoupt weight      37 39 169
Multilinear operator      195
Neumann problem      1 258
Paradifferential operator      85 277 285
Paraproduct      74 208 280
Pseudo-differential operator      77 89 116
Pseudo-product      44 58 73 83 144
PV      4
Regularizing operator      4 92 285
Renormalization constants      6 20 49
Riesz transforms      1 65 88 240
Rising Sun Lemma      101
Schur’s lemma      54 138
Single-layer potential      267
Singular integral      7 24 48 30
Sobolev spaces      1 122
Special atom      64
Strict convergence      203
Symbol      77 92
Symbolic calculus      4 66 78 86 129 215 229 285 288
T(b) theorem      142
T(l) theorem      50
Transference      185
Vaguclcts      56 137
Von Neumann’s inequality      233
Wavelets      7 23 47 51 65 67 78 82 84 87 117 121 127 132 142 177 207 294
Weak       14 35
Weakly continuous operator      46
Wiener algebra      197

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