Katznelson Y. — Introduction to Harmonic Analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Katznelson Y. — Introduction to Harmonic Analysis

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Название: Introduction to Harmonic Analysis

Автор: Katznelson Y.

Аннотация:

"First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike." This new edition has been revised by the author and offers some additional material, including topics from approximation theory and examples of the use of probabilistic methods in harmonic analysis.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third Edition

Год издания: 2002

Количество страниц: 287

Добавлена в каталог: 18.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Almost-periodic functions      170—184 206
Almost-periodic pseudo-measure      181
Analytic measure      100
Banach algebra      209
Banach algebra, homomorphism      228
Banach algebra, normal      238
Banach algebra, regular      238
Banach algebra, self-adjoint      224
Banach algebra, semisimple      222
Bernstein      33
Bernstein inequality      17 48
Bessel's inequality      29
Beurling — Helson      231
Blaschke product      97
Bochner      109 150
Bohr      182
Bohr compactification      207
Bohr group      207
Carleson      68
Cesaro means      13
CHARACTER      203
Characteristic function      153
Complete orthonormal system      29
Conjugate function      71
Conjugate Poisson kernel      88
Convolution      4 42 135 144
Convolution of almost periodic functions      179
Convolution of pseudo-measures      166
de la Vallee Poussin's kernel      15
deLeeuw      278
Difference equation      53
Dini's test      63
Distribution function      73
Ditkin — Shilov      240
Divergence, sets of      64
Dual group      204
Ergodic theorem      41
Fejer kernel      12
Fejer means      13
Fejer's lemma      17
Fejer's theorem      18
Fourier coefficients of integrable functions      2
Fourier coefficients of linear functionals      35
Fourier transforms on LCA groups      205
Fourier — Gelfand transform      221
Fourier — Stieltjes coefficients      38
Fourier — Stieltjes series      38
Function algebra      218
Function algebra, normal      236
Function algebra, regular      236
Gauss' kernel      140
Gaussian variable      153
Gelfand representation      220
Gelfand — Mazur      215
Haar measure      202
Hardy      84 103
Hardy spaces      93
Hardy Tauberian theorem      61
Hausdorff — Young      111 132 157 206
Herglotz' theorem      39
Homogeneous Banach space      14
Hull-kernel topology      237
Hunt      68
Ideal, maximal      213
Ideal, regular      215
Jackson kernel      22
Jackson theorem      49
Jensen's inequality      94
Kahane      278
Kaufman      199 275
Kolmogorov      68

Kronecker set      199
Kronecker's theorem      69 196 205
Lacunary (Hadamard)      117
LCA group      201
Lebesgue      20
Littlewood      84
Localization, principle of      63
Locally compact Abelian group      201
Lusin      68
Malliavin      245
Marcinkiewicz      152
Maximal conjugate function      88
Maximal function      84
Maximal-ideal space      220
Multiplicative linear functional      213 216
Multipliers on Fourier coefficients      52
Multipliers, universal      41
Normal variable      153
Paley — Wiener      188
Paley — Zygmund      280
Parseval      30 145 157
Parseval's formula      36
Partition of unity      236
Plancherel      156
Poisson kernel      16
Poisson summation formula      142
Poisson — Jensen      94
Pontryagin duality theorem      204
Positive definite on $\hat{\mathbb{R}}$       150
Positive sequences      39
Pseudo-measures      166
Quasi-analytic class      127
Rademacher functions      276
Radical      222
Resolvent set      214
Riemann — Lebesgue lemma      136
Riesz products      120
Riesz — Thorin      108
Riesz, M.      81 100
Riesz, R.      100
Rudin — Shapiro polynomials      34
Spectral norm      222
Spectral synthesis      244
Spectral theorem      40
Spectrum      222
Spectrum norm      174
Spectrum, weak-star      184
Summability kernel      9 203
Summability kernel, positive      10
Support of a distribution      46
Support of a tempered distribution      164
Symbolic calculus      250
Symbolic calculus, individual      257
Tempered distribution      162
Tensor products      264
Titchmarsh's convolution theorem      193
Trigonometric polynomial, degree of      2
Trigonometric polynomial, frequencies of      2
Trigonometric polynomial, on $\mathbb{R}$       174
Trigonometric polynomial, on $\mathbb{T}$       2
Uniqueness theorem      36 138
van der Corput's lemma      234
Varopoulos      264
Vitaly's lemma      84
Weierstrass, Approximation Theorem      15
Weierstrass, function      119
Wiener continuous measures      45
Wiener Tauberian theorem      241
Wiener theorem      217
Wiener — Levy      225
Wiener — Pitt      261
Zygmund      33

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