Prössdorf S., Silbermann B. — Numerical analysis for integral and related operator equations :: Электронная библиотека попечительского совета мехмата МГУ

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Prössdorf S., Silbermann B. — Numerical analysis for integral and related operator equations

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Название: Numerical analysis for integral and related operator equations

Авторы: Prössdorf S., Silbermann B.

Аннотация:

The book is addressed to a wide audience of readers. We hope that both the mathematician interested in theoretical aspects of numerical analysis and the engineer wishing to see practically realizable recipes for computations will find a few suggestions. We tried to present the material in a form which allows any reader to go to the chapters or parts of the book he is interested in as quickly as possible. The interdependence table provides an overall view of the connection between the parts of this monograph.

Язык:

Рубрика: Математика/Численные методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 542

Добавлена в каталог: 24.01.2006

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

Предметный указатель

$\gamma$ -quasioptimal      47
$\gamma$ -quasiuniform      440
$\mathscr{P}$ -continuous      113
$\mathscr{P}$ -convergent      113 114
$\varphi$ , $\varphi_\pm$ -operator      17 18 19 95 100 106 107 122 141 154 157 159 162 164 239 240
Admissible sequence of partitions      50
Agranovich, M.S.      248 261
Akhiezer, N.I.      69 314
Akilow, G.P.      80 81 123 293
Alexits, G.      51
Alg(V, $V_{-1}$ )      103
Algebra, decomposing      109 142 154
Algebra, generated by two idempotents      22
Algebra, semisimple      20
Algebra, singly generated      21
Algebra, Wiener      102
Amosov, B.A.      299 511
Anselone, P.M.      38 80 93 166 206 210 214
Approximation property      32 44 55
Arnold — Wendland lemma      54
Arnold, D.N.      79 248 343 386 447 511 512
Atkinson, K.E.      80 93 179 204 213 214 388
Atkinsons theorem      17
Aubin — Nitsche Lemma      34
Aubin, J.P.      79
Aziz, A.K.      79
Babuska, I.      79
Baker, C.T.H.      80 93 213 455
Banach — Steinhaus theorem      15
Banerjee, P.K.      343 387
Bari, N.K.      74
Belotserkovski, S.M.      343 387
Berezanski, Ja.M.      32 40
Berthold, D.      342
Bessel potential operator      40 257
Block Toeplitz operator      157
Bocrumolny, A.      93 204 214
Boikov      288
Botcher, A.      38 121 164 166 225 227 228 229 260 264 288 386 393 406 469
Brakhaze, H.      93
Bramble, J.H.      79
Brebbia, C.A.      343 387
Brunner, H.      80 91 195 200 213
Buckner, H.      80 93
Buhruz, K.      511
Burn, B.J.      512
Butterfield, R.      343 387
C*-algebra      21
Calderon, A.P.      261
Cea — Polski lemma      33 442
Center      24
Chandler, G.A.      189 193 204 206 210 213 214 388 432 437 455 473 512
Chandra, P.      79
Chin Ngok Minh      260
Ciarlet, P.G.      31
Circulant      42 59 345
Circulant, paired      346
Clancey, K.      240 290
Closed-graph theorem      17
Collocation method      81 82 88 91 192 196 197 202 279 294 346 410 447 486 503
Commutant      23
Commutator      18
Commutator property      49
Compact, collectively      16
Compact, relatively      16
Convergence, manifold      26
Convergence, quasioptimal      29
Convergence, stable      15
Convergence, strong      15
Convergence, uniform      15
Convolution equation, Mellin      167
Convolution equation, Wiener — Hopf      167
Cordes, H.O.      261
Costable, M.      174 218 219 260 388 428 485
Crouch, S.L.      343 387
Crouzeix, M.      192
Dahmen, W.      70
Datsyskin, A.P.      484
de Boor, C.      42 51 192
De Hoog, F.      166
de la Vallee Poussin mean      49
Determinant      18
Devinatz, A.      166
Didenko, V.D.      288
Dilation      101
Dirichlet kernel      75
Discrete collocation      92 204 208
Domain      17
Douglas, R.G.      24 38 166 218
Dow, M.L.      341
Dubeau, F.      79
Duduchava, R.V.      393 428
Ehlich, H.      77
Elliot, D.      341 342
Elschner, J.      79 93 170 172 174 192 201 213 214 247 261 388 426 441 449 453 481 483 485 511
Equation, Mellin convolution      167
Equation, pseudodifferential      486
Equation, pseudodifferential of Mellin type      387
Equation, singular integral      302 316 343 387
Equation, systems of singular integral      162
Equation, systems of Wiener — Hopf      159
Equation, Wiener — Hopf convolution      167
Erdogan, F.      341
Eskin, G.I.      242 243
Fabrikant, V.      485
Factorization, left canonical      290
Factorization, right canonical      290
Feldman, I.A.      38 94 95 96 119 129 166
Fenjoe, S.      80
Filippi, P.      343 387
Finite section method      118 270
Finite sections      111 290
Fourier transform      169
Fox, L.      93
Fredholm, I.      93
Freud, G.      81 313 317 318 323 325
Fromme, J.A.      342
Function, piecewise continuous      217
Function, piecewise holomorphic      301
Function, upper semi-continuous      23
Futagami, T.      343
Gabdulkhaev, B.G.      299 386
Gaehler, S.      214
Gaehler, W.      214
Gaier, D.      47
GALERKIN equations      33
Galerkin’s method      33 90 182 186 189 351 439 508
Garding inequality      33
Gazewski, R.      79
Gelfand — Naimark Theorems      21
Gelfand, I.M.      255
Gelfand, map      20
Gelfand, topology      20
Gelfand, transform      20 100 102 105 140 219 223
Gerasoulis, A.      213 342 475 484 485
Gohberg, I.      23 38 94 95 96 119 129 151 163 164 166 216 218 222 223 225 240 260 261 290 414 417 420
Golberg, M.A.      342 453
Goodwin, E.T.      93
Graham, I.G.      179 189 193 204 206 210 213 214 388 432 437 455 473
Grubb, G.      261
Gupta, G.D.      341
Hackbusch, W.      80
Haftmann, R.      342
Hagen, R.      261 386
Halmos, P.R.      38 383
Hardy, G.H.      76
Helfrich, H.P.      79
Hilbert scale      31 40
Hilbert transform      218
Hilbert transform, weighted      218

Hilbert, D.      93
Hille, E.      88
Hoa, S.V.      485
Hoelder — Zygmund space      236
Hoermander, L.      261
Hoidn, H.P.      512
Hsiao, G.C.      31 38 261 511 512
Ideal, closed      20
Ideal, left      20
Ideal, maximal      20
Ideal, proper      20
Ideal, quasicommutator      104 139 153
Ideal, two-sided      20
Ikegawa, M.      443
Index of a function      138
Index of an operator      17 106 107 142 156 166 223 227 241
Interpolation property      32
Inverse property      33 47 55
Invertible, left      19 95 100 122
Invertible, right      19 95 100 122
Invertible, two-sided      19
Involution      21
Ioakimidis, N.I.      342
Iterated collocation method      91
iterated Galerkin method      184
Ivanov, V.V.      299 386
Jackson’s theorem      69
Jen, E.      213 342 475 484 485
Joe, S.      93 204 214
Journe, J.-L.      261
Junghanns, P.      38 288 337 338 341 342
Kalandiya, A.I.      342
Kantorovich, L.V.      38 80 81 93 123 293
Karpenko, L.N.      341
Kesler, S.Sh.      38
Koehler, U.      38
Kohn, J.J.      261
Kopp, P.      261
Kozak, A.V.      166
Krasnoselski, M.A.      38 80 93
Krein, M.G.      166
Krenk, S.      342
Kres, R.      80 455
Krotov, V.G.      79
Krupnik, N. Ya.      23 38 151 163 164 166 216 218 222 223 225 260 261 414 417 420
Krupnik’s theorem      19
Krylov, V.I.      80 93
Kuhn, G.      343 387
Kumano-go, H.      261
Kuratowski measure of non-compactness      238
Lamp, U.      511
Lavrentyev, M.A.      386
Le Roux, M.N.      261
Lebesgue constants      76
Leindler, L.      79
Lenski, W.      79
Levchenko, V.I.      38
Lewis, J.E.      170 426
Lifanov, I.K.      343 386 387 388 476 485
Linz, P.      342
Lions, J.L.      40 242
Litvinchuk, G.S.      240
Local principle      22
Local principle of Douglas      24
Local principle of Gohberg — Krupnik      23
Localizing class      22
Lyapunow arc      215
M-equivalence      22
M-invertibility      22
MacCamy, R.C.      241 261
Magenes, E.      40 242
Marcus, M.      42
Markus — Feldman theorem      19
Markus, A.S.      38
Mastroianni, G.      342
Maximal ideal space      20 100 102 105 140 219
McLean, W.      79 237 299 511
Mechanical quadratures      83 88
Method of discrete wirls      344 389
Method of mechanical quadratures      83 88
Meyer, Ch.      288
Micke, A.      455
Mikheryee, S.      342 387
Mikhlin, S.G.      30 38 80 216 238 256 257 261 263 264 269 283 285 290 348 368 408 420 449
Mine, H.      42
Modified finite sections      135
Mohapatra, E.N.      79
Monegato, G.      212 213
Multhopp, H.      341 386
Multiplicative linear-functional      20
Muskhelishvili, N.I.      241 244 257 261 301 304 306
Mysovskikh, I.P.      93
Natansaon, I.P.      83 84 318 319 320
Nedelec, J.C.      80 511
Neumann, C.      93
Niessner, H.      512
Nirenberg, L.      261
Nitsche trick      33
Nitsche, J.A.      31 79
Noble, B.      80
Nystroem, E.J.      93
Nystroem’s method      92 204 208
Obreshkov, N.      329
Oestreich, D.      342
Operator, Bessel potential      257
Operator, block Toeplitz      157
Operator, closed      17
Operator, differential      257
Operator, elliptic      259
Operator, Fredholm      17
Operator, Hankel      126 129 218
Operator, local type      115 155
Operator, matrix      18
Operator, Noetherian      17
Operator, normally solvable      17
Operator, paired      138
Operator, pseudodifferential      251
Operator, regular typ      18 26
Operator, singular integral      151 163 216 237 241 256 264 284 332 333 342 439
Operator, singular integro-differential      260
Operator, Symm’s integral      256
Operator, Toeplitz (or discrete Wiener — Hopf operator)      121 227
Operator, unbounded      17
Operator, Wiener — Hopf      129
Operator, Wiener — Hopf paired discrete      144
Operator, Wiener — Hopf paired integral      147
Overlapping system      22
Panasjuk, V.V.      212 484
Parenti, C.      170 426
Part, essential      105 140 153
Part, main      105 140 153
Parton, V.Z.      341
Pedas, A.      213
Peetre, J.      238
Periodic Sobolev space      39
Perlin, P.I.      341
Peterson, G.K.      38
Pietsch, A.      238
Plamenevski, B.A.      260 261
Poeltz, R.      261
Polonski, Ya.E.      386 388 476 485
Pomp, A.      166
Power, S.C.      38
Prestin, J.      79 86
Proessdorf, S.      38 79 86 93 94 129 184 212 213 216 238 256 257 261 263 264 269 283 285 288 290 299 341 342 348 350 368 372 373 386 390 407 408 420 446 447 449 484 485 510 511 512
Projection, method      26
Projection, operator      17
Pseudodifferential equation      486
Quadrature methods      352 366 398 413 421 426 432 455 476
Quadrature rules      312

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