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    Theory of Function Spaces III

    Theory of Function Spaces III

    Autoren:

    Verlag:
    Springer Basel AG  Weitere Titel dieses Verlages anzeigen

    Auflage: 2006. 2006
    Erschienen: Juli 2006
    Seiten: 426
    Sprache: Englisch
    Preis: 149.79 €
    Illustration: Bibliographie
    Maße: 241x163x35
    Einband: Gebundene Ausgabe
    Zum Buch: Book
    ISBN: 9783764375812

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    algorithm, method, 219
    analysis, Gabor, 186
    analysis, multiresolution, 26, 381
    analysis, multiresolution, anisotropic, 249
    analysis, time-frequency, 186
    anisotropy, 237
    atom, 12
    atom, anisotropic, 245, 375
    atom, boundary, 215
    atom, 350
    atom, (s,p)*, 352
    atom, (s,p)*-£, 352
    atom, 350, 369
    atom, (s,p)k,l, 12
    atom, (s,p)%L, 245
    atom, 15
    atom, 130
    atom, (s,p)cr, 63
    atom, (s,p)a, 16, 131
    ball means, 72, 74, 387
    basis, Haar, 29
    basis, Schauder, 28
    basis, unconditional, 29
    Besicovitch, 78
    characterisations by differences, 72
    characteristics, Besov, 93, 101, 121, 260, 314, 323
    characteristics, Bessel, 339
    characteristics, Courant, 93
    characteristics, multifractal, 93, 101, 314, 323
    class, Muckenhoupt, 273
    condition, ball, 146
    condition, porosity, 146
    cone, positive, 84
    convergence, local, 153
    convergence, unconditional, 14, 34, 153, 270
    convergence, absolute, 133, 17
    Courant, R., 87
    curve, Koch, 359
    curve, snowflake, 359
    d-set, 91, 96, 313, 315, 357
    (d, 4r)-set, 97
    d-space, 113, 358, 363
    d-space, regular, 358, 373
    decomposition, Whitney, 208, 209
    Deutsche Mark, Zehn, 125
    differences, iterated, 198
    differences, symmetric, 319
    dimension, Fourier, 303
    dimension, Hausdorff, 121
    distance, anisotropic, 241
    distribution, radial, 288
    distribution, tempered, 3, 4, 127
    domain in Rn, 58, 194
    domain, interior regular, 393
    domain, Lipschitz, 64, 195
    embedding, compact, non-compact, 197 (proof) embedding, constants, 231
    embedding, limiting, 284
    embedding, sharp, 58, 77, 40, 43, 258
    embedding, weighted, 266, 279


    envelopes, 77, 39
    envelope, continuity, 50
    envelope, growth, 48, 52
    Euclidean chart, 119, 358, 363
    £-chart, 358, 363, 369
    £-frame, 364
    F in F*q, 170
    formula, Stirling, 168
    Fourier transform, 4, 129
    frame, 24, 169
    frame, dual, 169, 174
    frame representation, 350
    function, admissible, 53
    function, Courant, 92
    function, Gauss, 186
    function, Lipschitz, 195
    function, strictly increasing, 95, 307
    function, scaling, 26
    T-function, 168
    Gaufi, C.F., 125
    Gausslet, 125, 186
    Gausslet, (s,p)-/3, 187
    ^-philosophy, 124
    guy, bad, 122
    guy, good, 125
    h-set, 96
    i7-frame, 365
    frame, 365
    homogeneity property, 132
    index-shifting, 19
    index set, main, 209
    index set, residual, 210
    inequality, Carl, 58
    inequality, maximal, 384, 393
    information map, 219
    interpolation, 69, 272
    interpolation, entropy, 57
    isomorphic, 157
    A;-wavelet, 147, 154, 268
    king, of function spaces, 122
    Koch, 359
    Laplacian, Dirichlet, 86
    lattice, approximate, 21, 109
    local means, 9, 247
    localisation principle, 269
    localisation, refined, 207
    fjL-property, 81, 83, 298
    mass distribution, 316
    maximal function, 5, 384
    mean smoothness, 238
    measure, diffuse, 96
    measure, doubling, 96
    measure, Hausdorff, 121
    measure, isotropic, 95, 307
    measure, lacunary, 316
    measure, Radon, 80
    measure, strongly diffuse, 96
    measure, strongly isotropic, 96, 307
    measure, tame, 315
    measure, Weyl, 99, 344
    method, transference, 256, 286
    modulus of continuity, 387
    molecules, 171
    Muckenhoupt class, 273
    multiplication algebra, 136
    multipliers, pointwise, 136
    Nash, J., 79
    non-smooth, 78
    not dense, 145
    Nullstellenfreiheit, 87
    number, approximation, 56, 68, 228
    number, entropy, 56, 61, 228, 258, 372
    number, sampling, 219

    operator, compact, 56
    operator, extension, 65, 108, 349
    operator, identification, 88, 103, 304, 342
    operator, restriction, 64
    operator, trace, 82, 104, 106, 303
    operator, universal extension, 66
    p-norm, 55
    para-basis, 203, 214
    porous, 146, 393
    positivity, 190, 390
    potential, Bessel, 190, 301
    potential, Riesz, 301, 372
    property, Fat ou, 273
    property, Fubini, 290
    property, Weyl, 98
    quark, (s,p)K-f3, 21, 22
    quark, (s,p)-/3, 110, 347
    quark, (s,p)-Z, 365
    quasi-metric, 112, 357
    quasi-norm, 55
    rearrangement, 42, 44
    reproducing formula, 377
    resolution of unity, 4, 129, 21, 110
    sampling method, 219
    scaling property, 205
    set, residual, 332
    sheep, black of calculus, 122
    smoothness, dominating mixed, 25
    smoothness, generalised, 25, 53, 55
    smoothness, pointwise, 184
    smoothness, variable, 53, 55
    smoothness, varying, 184
    snowflaked version, 114
    space, anisotropic, 374
    space, Besov, classical, 4
    space, Besov, classical anisotropic, 235
    space, Besov, anisotropic, 256
    space, Besov, homogeneous, 273
    space, Besov, weighted, 268
    space, dual, 88, 150, 248
    space, Hardy, 4, 217, 240
    space, Hardy, anisotropic, 240
    space, Holder-Zygmund, 3, 15, 76
    space, Holder-Zygmund, anisotropic, 243
    space, of homogeneous type, 113
    space, Lipschitz, 364
    space, Lorentz, 156
    space, modulation, 187
    space, quasi-metric, 112, 357
    space, radial, 287
    space, resilient, 125
    space, Schwartz, 4, 127
    space, sequence, 273
    space, Sobolev, 3, 76
    space, Sobolev, anisotropic, 239
    space, Sobolev, classical, 2
    space, Sobolev, classical anisotropic, 235
    space, Sobolev, fractional, 3
    space, Sobolev, weighted, 267, 285
    space, tailored, 108
    space, two-microlocal, 185
    space, weighted, 264
    space, Zygmund, 156
    support, singular, 121, 322
    system, dual, 163
    theorem, Paley-Littlewood, 2, 240, 268
    theorem, representation, atomic, 63
    theorem, representation, quarkonial, 22,111
    theorem, representation, smooth atomic, 13
    theorem, representation, wavelet, 33, 154
    theorem, representation, wavelet frames 37, 39
    transform, snowflaked, 119, 125, 359
    transform, snowflaked, anisotropic, 362

    ultra-distribution, 265
    wavelet, 26, 147, 203
    wavelet, basis, 27, 154
    wavelet, Daubechies, 31, 204, 253
    wavelet, father, 26
    wavelet, Haar, 28
    wavelet, in domains, 209, 214
    wavelet, Meyer, 31, 160, 254
    wavelet, mother, 26
    wavelet, smooth 30
    wavelet system, main, 210
    wavelet system, residual, 210
    weight, 263
    Weyl, H., 86
    window, 186