Kahane J.P., Bollobas B. (Ed) — Some Random Series of Functions :: Электронная библиотека попечительского совета мехмата МГУ

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Kahane J.P., Bollobas B. (Ed) — Some Random Series of Functions

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Название: Some Random Series of Functions

Авторы: Kahane J.P., Bollobas B. (Ed)

Аннотация:

This second edition covers random series in Banach and Hilbert spaces, random Taylor or Fourier series, Brownian motion and other Gaussian processes, plus certain types of random sets and measures — subjects of application in mathematics, statistics, engineering and physics.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1993

Количество страниц: 3192

Добавлена в каталог: 05.07.2008

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

Предметный указатель

Rudinsets      251 252
Ryll — Nardzewski      38 72
Ryll — Nardzewski theorem      40
S-sum, S-bound of a series      12
Saks      2
Salem      xii 67 70 284
Salem sets      251 260 265
Salem — Zygmund inequality      67 285
Schoenberg      135 286
Screw-function      135
Self-crossing      245
Self-similar sets      272
Shapiro, H.S.      75
Shapiro, J.H.      286
Shepp      xiii 143 150 162 211 213 215 286 288
Shepp covering theorem      144—150
Sidonsets      70 71 81 91 284
Similar random objects      3
Sledd      283
Slepian lemma      211 213 288
Slow points of brownian motion      242 288
Standard probability space      4
Standard Rademacher and Steinhaus sequences      5
Standard real and complex normal sequences      168
Stationary Gaussian process      199
Stationary increments      212
Steinhaus      1 37 281 283
Steinhaus and Rademacher series      22
Steinhaus Fourier series      xi 46 58 285
Steinhaus functions      2
Steinhaus sequences      2 5
Stopping time      243
Strong integrability      23 176
Subgaussian Fourier series      285
Subgaussian random variables      82
Subnormal variables, sequences      67 68 81
Summability methods, summation matrices      12 281
Symmetric random vectors      8
Symmetrization (principle, device)      9 34
Szarek      282
Szegoe      133
Taylor      233 288
Taylor series      27 44—45 93 178- 283—284
Theorems, Beppo Levi      6

Theorems, Beurling — Pollard      287
Theorems, Billard      46 54 58
Theorems, Cartan — Thullen      38 45 283
Theorems, Dirichlet      261
Theorems, Dudley and Fernique      218—225
Theorems, Fejer      63
Theorems, Fernique      176
Theorems, Frostman      133
Theorems, Fubini — Jessen      6 281
Theorems, Kolmogorov      121
Theorems, Kronecker      112
Theorems, Kwapien      282
Theorems, Littlewood and Salem      70
Theorems, Malliavin      209
Theorems, Marcel Riesz      121
Theorems, Marcus — Pisier      213 226—231
Theorems, Marcus — Shepp      215 288
Theorems, Nevanlinna      121
Theorems, Paley — Zygmund      46 53 54 121
Theorems, Ryll — Nardzewski      40
Theorems, Slepian ('Slepian's lemma')      213
Three-series      28
Tonge      285
Transience      165 173 287
Translates      143—164
Triadic Cantor set      128 132 250
Trigonometric series, classical or technical results      47—49 89 94—96 102
Trigonometric series, lacunary      35 65 108 284
Trotter      289
Tucker      281
Type and cotype in Banach spaces      282
Variance      6
Varopoulos      285
Von Koch curves      129 137 138 139 286
Weber      289
Wells      286
Wiener      xi 125
Wiener process      233 234
Wiener series, Fourier      235
Wiener series, Franklin      238
Wschebor      162 286
Yu Jia-rong      283
Zafran      xii
Zero-one law      7
Zygmund      xi xii 8 38 67 94 110 281 282 283 284 285

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