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| Авторизация |
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| Katznelson Y. — Introduction to Harmonic Analysis |
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| 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  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  174
Trigonometric polynomial, on  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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