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| Nikolskii N.K. — Treatise on the Shift Operator: Spectral Function Theory |
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| Предметный указатель |
Jerison, D. 210 465
Jessen, B. 326
Jewell, N. 368 456
Johnson, W. B. 100 461
Jones, P. VIII 189 209 210 356 376 390 458
Jordan cell (block) 2 88
Jump (discontinuity) of a chain of subspaces 120 122
Kaballa, V. P. 173 465
Kac, M. 364 465
Kacnel’son, V. E. 76 176 207 250 266 466
Kadec, M. I. 264 266 337 466
Kahane, J.-P. 364 425 466
Kalisch, G K. 114 466
Kato, T. 130 318 370 466
Katznelson, Y. 326—327 378 466
Keldys, M. V. 112
Kisilevskii, G E. 113 276 466
Kislyakov, S. V. 365 466
Kober, H. 384 466
Kolmogorov, A. N. 14 23 198 419 443 466
Konig, H. 24 456
Koosis, P. J. 208 267 287 296 176 185 466
Korobcinik. Yu P. 148 460
Kothc, O. 136 150 466
Krein, M. G. 98 113—115 128—129 150 174 204 207—210 250 268 304 310 364 369 371—372 380 385—386 394 398—399 401 418 425—426 433 438 455 462 466
Kriete, T. L. 129 467
Kronecker, L. 183 208 326 467
Krupnik, N. Ya. 354 364 371 378 381—382 389—390 392 395 463 467
Lamperti, J. 410 415 467
Langer, H. 7 9 467
Lattice of invariant subspaces VII
Lax, P. D. 5 8 17 27 78 80 255 264 268 457
LCM (of a family of inner functions) 13 19 26
Lee, M. 377 383—385 467
Leggett, R. 96 467
Lemma, Beurling’s 33 59;
Lemma, Coburn’s 318 370
Lemma, Complementing 49—50 61
Lemma, Douglas — Sarason 329 381
Lemma, Douglas’s 325 377
Lemma, Gohberg — Krupnik 381
Lemma, Hadamard’s 164 176
Lemma, Kabaila — Newman 159 173
Lemma, Kronecker’s 183 208
Lemma, Langer’s 7 9
Lemma, Malmquist — Walsh 116—117 130
Lemma, Naftalevic’s 162 174
Lemma, Newman’s 134 150
Lemma, of Orlicz 137 150
Lemma, of Sz.-Nagy and Foias 251 264
Lemma, on  52 286
Lemma, on , Maximality 350
Lemma, on , the Local Rank 44
Lemma, Sarason’s 355
Lemma, Sarason’s Projection 68 77
Lemma, Tolokonnikov’s 293
Lemma, Vasyunin’s 166 176
Lemma, Vinogradov — Goluzina 161 173
Lemma, Vinogradov’s 160 173
Lemma, Vol’berg’s 357 390
Lemma, Wold — Kolmogorov 14 27
Levin, B. Ya. 265—266 467
Levinson.N. 266 337 457
Levitan, B.M. 327 378 465
Lidskii, V. B. 112
Limit, lower (of a sequence of subspaces) 34
Lindelof, E. 24
Lindenstrauss, J. 148 468
Linnik, Yu.V. 423 455
Lions, J. L. 358 467
Littlewood, J. E. 110 468
Litvincuk, G. S. 364 457 468
Livsic, M.S. 8 62 78 112 175 468
localization 328 380—381
Localization over the center 362
Lofstrom, J. 358 435 454 456
Lohwater, A. J. 59 173 459
Lorch, E. R. 150 178 207 468
Lowdenslager, D. 22 24—25 27 464
lto, K. 399
Lubin, A. 129 468
Lyance, V. E. 468
Lyubic, Yu. I. 104 113 462 468
Macaev, V. I. 112—113 128 266 463 468
Macintyre, A. J. 425 429 468
Mackey, G W. 265
Magnus, W. 368
Malliavin, P. 267 456
Malmquist, F. 116
Malysev, V. A. 364 468
Markus, A. S. 112 250 468
Markusevic, A. I. 110—111 468
Marshall, D. 347 386—389 458 468
Maruyama, G. 416 468
Masani, P. 25 28 394 410 469
Maslov, V. P. 206 469
Matrix, Hankel 181 303
Matrix, Toeplitz 303 312
Matveev, R. F. 58 469
McKean, H. P. 8 264 265 460
McKenna, P. J. 173 469
Measure, Carleson 151 258 290—291 302
Measure, representing 26 78 213 284
Measure, spectral 135 177 412
Method, projection 397
Metric, hyperbolic 156
Mihlin, S. G 148 371 385—386 469
Miiller, V. 276 469
Mityagin, B. S. 148 371 385—386 469
Mixing 417
Mixing, rapid 420
Mixing, uniform, of past and future 418
Mlak, W. 15 461
Model of an operator 1—2
Model, (functional), of Sz.-Nagy and Foias 4—6 18 175 299
Model, concrete triangular 129
Model, Jordan 1 270
Model, triangular 128
Moeller, J. W. 62 75 78 469
Montel, P. 74
Moore, B. 26 270 469
Muckenhoupt, B. 209 450 465
MuhIy, P. S. 208 469
Mukminov, B. R. 250 469
Multiplicity, spectral 20 41—42 269—270 275
Multiplier 138 184 298
Multiplier of a family of vectors (subspaces) 138 177 178 184 206
Multiplier, preserving Fredholmness 331 382
Mushelisvili, N. I. 364 371 469
Naftalevic, A. G. 162 174 469
Naimark, M. A. 9 80 342 470
Nakazi, T. 24 470
Natanson, I. P. 154 470
Nehari, Z. 181 207 470
Nelson, E. 410 470
Neumann, J. von 22 129 174—175 207
Nevanlinna, R. 210 284 366 410 470
Neville, C. 24 180 204 366 470
Newman, D. J. 134 150 159 173 470
Newman’s condition (N) 157 173
Newman’s condition, weak (wN) 157
Nieto, J. I. 358 470
Nikol’skii, N. K. VIII 27 29 39 59—61 68 78 98 100—101 109 112—115 148 173 176 208 232—233 265 337—338 364 383—384 427 437 460 463—464 470—471
Nikol’skii, S. M. 435 454 471
Nordgren, E. A. 270 471
Norm, essential 311 368
Nudel’man, A. A. 364 467
Nyman, B. 58 471
Oleinik, V. L. 171—172 47/
Operator of best approximation 425 428
| Operator of fractional integration 453—454
Operator of indefinite integration 90 114 126—127 130
Operator,  -spectral 213 232
Operator, complete 38 83 95 97
Operator, decomposable 86 113
Operator, defect 5 96
Operator, dissipativc 96 113
Operator, Gram 132 139 148 16.1
Operator, Henkel 180 191 207 301
Operator, Henkel, with respect to an isOmetry 207
Operator, Jordan 270
Operator, lower triangular 117 120 122
Operator, normal 1
Operator, nuclear (trace class one) 96
Operator, scalar (in the sense of Dunford) 176 185 212 232
Operator, singular integral 393
Operator, spectral (in the sense of Dunford) 174 213 232
Operator, subnormal 29
Operator, Toeplitz 45 61 203 297 301—303 312
Operator, Toeplitz, abstract 394
Operator, Toeplitz, multivariate 394
Operator, Toeplitz, self-adjoint 396
Operator, Toeplitz, similar 396
Operator, Toeplitz, vectorial 394
Operator, triangular 116 128
Operator, triangularizing 118 129
Operator, unicellular 89 101—104
Operator, unitary mod  323 376
Operator, upper triangular 116
Operator, Volterra 114
Orlicz, W. 137 150 471
Orthogonality, asymptotic, of a series 164
Orthogonalizer 132 140
Oyma, K. 471
Page, L. B. 25 26 191 207 367 462 471
Paley, R. E. A. C. 150 196 254 265—266 471 479
Parfenov, O. G. 369 471
Parodi, M. 176 471
Parrott, S. 367 471
Pavlov, B. S. 5 89 150 173 175—176 208 266 337—338 383—384 464—465 471
Peetre, J. VIII 358 407 471
Peller, V. V. VII—VIII 208 323 364—365 372 377 394 400 401 407—408 426—427 434 441 472
Phillips, R. S. 5 8 78 80 264 268 467
Phragmen, E. 24
Pick, G 180
Piranian, G. 99
Plemelj, J. 364
Plessner, A. I. 9 79 472
Potapov, V. P. 99 113 127 175 472
Power, S. C. 207 364—365 368—369 379 389 392 394 457 472
Privalov, I.I. 24 287 472
Problem, Caratheodory — Fejer 179 309
Problem, corona 288 292
Problem, corona, operator 292 297
Problem, moment (abstract) 133 173
Problem, moment (for powers) 301
Problem, Nevanlinna — Pick 180 309 429
Problem, of best approximation of analytic functions 424
Problem, of Sz.-Nagy 288 292 297
Problem, Pick — Ahieser 309
Problem, restoration, for unimodular functions 425
Problem, restoration, in spaces of measures 439
Problem, Riemann — Hilbert 393
Problem, Schur — Takagi 309
Process,  -regular 420
Process, completely regular 419
Process, deterministic 417
Process, regular 418
Process, stationary Gaussian 412
Process, uniformly mixing with respect to the future 418
Product, Blaschke 33 257 278 280—281
Projection (parallel to a subspace) 197 213
Projection, Riesz 32 198
Projection, spectral 85
Projection, spectral Riesz 96 137 149 213
Prossdorf, S. 364 398 472
Protas, D. 298 458
Pseudocontinuation 30 44 46
Quasi-equivalence of matrices 270
Quasi-similar 269 276
Rabindranathan, M. 370 472
Rajchman, A. 441 473
Random variable, Gaussian 410
Range, essential 314
Rapoport, I. M. 371 473
Reed, M. C. 304 410 473
Reproducing kernel 121 197
Riemann, B. 299
Riesz, F. 17 24 84 284 364 368 388 412 473
Riesz, M. 17 24
Roch, S. 398 473
Rochberg, R. 407 473
Rogosinski, W. W. 425 429 468 473
Root(sub)space (hull) 38 81 95
Root(sub)space (hull) vector 38
Rosenbaum, J. T. 171 473
Rosenblum, M. 296 371 394 396 473
Rosenthal, P. 114—115 473
Rozanov, Yu. A. 8 25 58 265 394 410 418—419 421 442—443 449 465—466 473
Rudin, W. 18 59 208 284 312 347 372 460 473
Ruksin, S. E. 233 474 478
Sadosky, C. 443 455
Sahnovic, L. A. 114 128—129 473
Samoyan, F. A. 171 298 434 473
Sarason, D. 24—27 68 77 90 99 114—115 130 178 182 192 208—209 264—265 323—324 328—329 347 351 355—356 360 364—365 367—372 374—379 381 383—386 389—390 438 442—444 449 456 460 463—464 467 474
Sawyer, E. T. 209 474
Schaeffer, D. G. 378 389 459
Schmidt scries (expansion) 304
Schmidt scries (expansion), s-vector (function) 304
Schreiber, M. 114 474
Schubert, C. F. 75 297 395 474
Schur test 172
Schur, I. 36 172 204 430 474
Schwartz, J. T. 101 113 174 206 232 460
Schwartz, L. 267 336 475
Sectorial 314 370
Sectorial, locally 330 381
Segal, I. 410 475
Semencul, A. A. 378 463
Semi-commutator 341 344 386
Semmes, S. 401 475
Senickin, V. N. 151
Separation of singularities 330
Set, interpolation 441
Shapiro, H. S. 58—59 150 172 188 385 425 460 475
Shapiro, I. 208 267 460
Sherman, M. J. 276 475
Shields, A. L. 58—59 150 172 188 298 368 456 460 475
Shift operator 1 2
Shift operator, bilateral 3
Shift operator, compression of 62 81
Shift operator, multiple 3 4
Shift operator, unilateral (onesided) 3
Shift, truncated 62
Shinbrot, M. 395 475
Silbcrmann, B. 364 197 457 475
Silov, CJ. K. 180 475
Simon, B. 104 410 471
Singer, I. M. 377—378 389 459
Singular numbers 303
Sjodin, T. 441 476
Smirnov, V. I. 24 476
Snyder, A. K. 196 476
Solev, V. N. 58 400 425 438 443 465 476
Solomyak, B. M. 115 476
Solomyak, M. Z. 80 369 456
Space,  427
Space, Fock 413
Sparseness (uniform separability) condition (R) 156 257
Spectral measure of a process 412
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