Wojtaszczyk P. — A Mathematical Introduction to Wavelets :: Электронная библиотека попечительского совета мехмата МГУ

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Wojtaszczyk P. — A Mathematical Introduction to Wavelets

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Название: A Mathematical Introduction to Wavelets

Автор: Wojtaszczyk P.

Аннотация:

Starting with a detailed and selfcontained discussion of the general construction of one dimensional wavelets from multiresolution analysis, this book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 272

Добавлена в каталог: 18.05.2008

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Предметный указатель

Atom, special      214
Bernstein's inequality      225
Besov norm      220
Besov spaces      220
Besov spaces, inhomogenous      230
Biorthogonal functionals      20
Biorthogonal system      173
Calderon — Zygmund decomposition      147
Cohen's condition      100 124
cube      141
Cube, dyadic      146
Dilation      107
Dilation, dyadic      18
Distribution of function      141
Dyadic intervals      1
Equivalent bases      200
Exponential decay      8 58 61
Frame      20
Frame, light      20 100
Function of bounded p-mean oscillation      149
Function, $\mathbb{Z}^d$ -periodic      246
Function, r-regular      116
Hardy — Littlewood maximal function      142 146
Hardy's inequality      167
Hilbert transform      166
Hoelder's condition      15 218 220
Hoermander condition      167
Jackson's inequality      223
John — Nierenberg theorem      154
Khintchine's inequality      176
Lebesgue Differentiation Theorem      144
Marcinkiewicz interpolation theorem      145
Markov's inequality      141
Matrix, banded      64
Matrix, p-modulus of continuity      216
Matrix, Toeplitz      65
Meyer      49
Meyer on $\mathbb{R}^d$       108
Meyer, r-regular      116
Multipliers      164
Multiresolution analysis      17

Operator of weak type       160
Operator of weak type (1,1)      145
Operator of weak type (p,p)      160
Operator, dilation      18 140
Operator, sublinear      145
Operator, translation      18 140 167
Order      168
Orlicz theorem      179
Orthogonality of translates      23 111 113
qr-atom      150
Rademacher functions      175
Riesz basis      111 174
Riesz lemma      83
Riesz sequence      20 28 110 173
Scaling equation      27
Scaling function      18 26 31 32 108
Schwartz class      49
Series, absolutely convergent      173
Series, unconditionally convergent      168
Set of digits      109
Special atoms space      222
SPLINE      52
Spline, B-spline      52
Stone — Weierstrass theorem      215
Support of compactly supported wavelet      81
Tile      122
Unconditional basis      174
Unit vector basis      241
Vanishing moments      47
Wavelet      17
Wavelet basis      17
Wavelet of exponential decay      61
Wavelet set      107
Wavelet, associated with multiresolution analysis      33
Wavelet, compactly supported      75 105 201
Wavelet, general form      37
Wavelet, Haar      1 103
Wavelet, Meyer's      50 207
Wavelet, multidimensional      107
Wavelet, not associated with multiresolution analysis      66
Wavelet, spline      56
Wavelet, Stroemberg      6

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