Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Krantz S.G. — Function Theory of Several Complex Variables
Krantz S.G. — Function Theory of Several Complex Variables



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Function Theory of Several Complex Variables

Автор: Krantz S.G.

Аннотация:

This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 2000

Количество страниц: 564

Добавлена в каталог: 01.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Abel's lemma      101
Acyclic cohomology      266
Adjoint of the $\bar{\partial}$ operator      186
Adjoint of the $\bar{\partial}$ operator, formal      190
Adjoint of the $\bar{\partial}$ operator, operator      1 77
Admissible approach region      356
Admissible convergence for holomorphic functions      354
Admissible limits for holomorphic functions      360
Admissible limits re-examined      362
Admissible regions      353
Admissible set for the Kobayashi/Royden metric      440
Affinity function      250 259
Aleksandrov, A.B.      12 383 397
Alexander, H.      439
Alexander, H., Rudin's generalization      480
Alexander, H., theorem      480
Almost analytic extensions      424
Analytic continuation      14 242 318
Analytic convexity      241
Analytic disc      136
Analytic polyhedron      160 166 483 484
Analytic sheaf      293
Analytic space      131
Analytic type      466 467
Analytic, closed      136
Andreotti, A.      9 175 292
Approximation of a holomorphic function      14 419
Approximation theory      236
Artinian ring      275
Ascoli — Arzela theorem      45
Atlas      493
Automorphism group of $D^n$      431
Automorphism group of a domain      429
Automorphism group of the ball      70 480
Automorphisms of bounded circular domains      430
Bagemihl — Seidel theorem      349 373
Baire category theorem      108
Baire class      33
Banach — Alaoglu theorem      322
Barbell domain      242
Barker, S.R.      358
Barrett, D.      462
Basener, R.      141 170
Basin of attraction      477
Beatrous, F.      233
Bedford, E.      97 98 141 161 479
Behnke — Stein theorem      158
Bell, S.      59 70 455 462
Bell, S. lemma      457
Berg, C.      73
Bergman and Hardy spaces      307
Bergman and Kobayashi/Royden metrics, incomparability of      491
Bergman distance      56
Bergman kernel      49
Bergman kernel for the ball      62
Bergman kernel, calculation of      76
Bergman kernel, extremal property of      57
Bergman kernel, transformation under a mapping      55
Bergman kernel, uniqueness of      51
Bergman metric      56 434
Bergman metric for the ball      63
Bergman metric, definiteness of      79
Bergman metric, dominates the Caratheodory metric      490
Bergman metric, geodesic of      65
Bergman metric, isometry of      56
Bergman projection      52
Bergman space      50
Bergman space, basis for      79
Bergman — Bell projection formula      459
Bergman, S.      49
Besicovitch's theorem      103
beta function      61
Betti numbers      136
Biholomorphic inequivalence of the ball and the polydisc      65
Biholomorphic mapping      9 55 429
Biholomorphic of finite type domains      475
Bishop, E.      314
Blank, B.      441
Blaschke condition      328 379
Blaschke factorization      327
Blaschke product      12 381
Boas, H.      58 59
Bochner — Martinelli form      291
Bochner — Martinelli formula      22
Bochner — Martinelli kernel      30
Bochner, extension phenomenon      210
Bochner, S.      49 99
Bogoliubov, N.      161
Bonneau, P.      227
Bonneson, T.      117
Borel's theorem      103 256 469
Boundary values, specifying      396
Bounded linear operator      176
Bounded mean oscillation, function of      374 377
Boutet de Monvel, L.      59 68 70 234
Branched covering      300
Braun — Karp — Upmeier linearization theorem      430
Braun, R.      430
Bremerman, H.      8 99
Bungart, L.      69 227
Burbea, J.      490
Burns, D.      9 430 435 453 454
Calderon theorem      349
Calderon, A.P.      348
Campbell — Baker — Hausdorff formula      311
Canonical construction      495
Canonical distance      436
Canonical distance, minimality of      441
Canonical factorization      12 329 382
Canonical kernels vs. constructible kernels      70
Canonical metric      434 435
Canonical metric isometries      487
Canonical metrics on the polydisc      483
Canonical solution to the a problem      198
Canonical theorem      371
Canonical volume form      446
Canonical vs. Henkin solution for the a problem      406
Caratheodory, Cartan — Kaup — Wu theorem      444
Carleson, L.      297
Cartan formula      232 314 508
Cartan theorem      429
Cartan theorem A      293 295
Cartan theorem B      293 295
Cartan, H.      254 429
Catlin sub ellipticity theorem      475
Catlin, D.      384 464 470
Cauchy estimates      104
Cauchy formula for the polydisc      31
Cauchy integral formula      20 24
Cauchy — Fantappie formula      77 226 407
Cauchy — Riemann equation      15
Cauchy — Riemann equation with non-smooth solution      194
Cauchy — Riemann equation without closed range      212
Cauchy — Riemann equation, inhomogeneous      15 25 27 28 34
Cauchy, A.      117
Cayley transform, generalized      112
Cegrell, U.      98
Chain homotopy      31 260
Chain rule      76
Chang, D.C.      470
Chebycheff's inequality      324
Chern class      285
Chern map      285
Chern — Moser invariants      453
Chern, S.S.      10 60
Chirka, E.      362 365
Christ, F.M.      470 475
Cima, J.      307 362 365 376 488
Circled set      104
Circular domain      104
Closed operator      177
Closure of adjoint operator      1 78
Closure of range lemma      1 79
Coboundary      257
Coboundary operator      257 290
Cochains      256
Cocycles      257
Coherent analytic sheaf      294
Cohomologous      259
Cohomology group      290
Cohomology of slices      286
Combinatorial topology      243
Common refinement      262
Commutator      466
Compactly divergent subsequence      439
Comparability of canonical metrics and Euclidean metric in the interior      487
Comparison domains, method of      331
Complete circular domain      104
Complete Reinhardt domain      104
Completeness of the canonical metrics      482 483 488
Complex affine space      94
Complex analytic dynamics      476
Complex foliation      485
Complex line      94
Complex manifold      295
Complex normal      465
Complex normal curve      372
Complex projective space, cohomology of      287
Complex structure tensor      124
Complex tangent space      125 355
Complexification      103
Condition r      455 462 475
Cone      161 324
Conjugate holomorphic vector field      466
Connecting morphism $\delta^*$      265
Constant sheaf      256
Continuously differentiable      3
Convex function      81 114
Convex set, geometrically      11 7
Convex, strongly      120
Convexifiability      136
Convexity      9 117
Convexity with respect to a family of functions      129
Convexity, affine sphere characterization      131
Convexity, analytic      120
Convexity, and domains of holomorphy      156
Convexity, hyperplane characterization      164
Convexity, strict      130
Convexity, strong,      130
Convolution of forms      30
Convolution of two functions      26
Coordinate chart      493
Coordinate pair      493
Cordoba, A.      357
Corona problem      297 298
Corona theorem      297
Cotangent vector      504
Counting zeros of a holomorphic function      308
Cousin problem      12
Cousin problem, first      247
Cousin problem, first, for $C^{\infty}$ functions      247
Cousin problem, first, solution      247
Cousin problem, first, with bounds      418
Cousin problem, second      247
Cousin problem, second, application      253
Cousin problem, second, for meromorphic functions      283
Cousin problem, second, non-solvability of      250
Cousin problem, second, solution      249
CoverIng by geometrically simple subdomains      341
Covering lemma      323
Cumenge, A.      421
Currents      30
D'Angelo, decomposition of a defining function      474
D'Angelo, J.      423 464 470 488
Dales, H.G.      241
Davie, A.M.      233
de Rham theorem, holomorphic      273 274
de Rham theorem, real      272
Defining function      3 71 11
Defining function, pullback of      172
Demailly, J.P.      9
Diaz, R.      307
Diederich, K.      168 421 462
Differential form      3 19 504
Differentials      2
Direct limit      259
Dirichlet problem      43
Distance decreasing properties of canonical metrics      438
Distance function      142
Distance function, smoothness of      164
distribution      27 201
Distribution function      349
Divergence      37
Divisor      11 282
Dixon, P.      170 479
Dolbeault complex      268
Dolbeault isomorphisms      287
Dolbeault theorem      268
Domain      3
Domain algebra, prescribing boundary values in      401
Domain of boundedness for a power series      104
Domain of convergence for a power series      13 104
Domain of convergence, characterization of      106
Domain of holomorphy      6
Domain of holomorphy, characterization of      131 153
Douglas, R.      233
Edge-of-the-wedge theorem      161 162 166
Ehren preiss, L.      9 33
Eilenberg — MacLane spaces      292
Envelope of holomorphy      240 318
Epstein, B.      73
Equivalence of geometric and analytic type      469
Essential point      153
Essential point, locally      157
Esterle, J.      170 479
Estimates for the a operator      403
Estimates for the a operator on ellipsoids      421
Estimates for the a operator, basic      192
Estimates for the a operator, optimal      418
Estimates for the a operator, sharp      464
Estimates for the a operator, uniform      411
Euclidean Hartogs figure, generalized      292
Euclidean space      1
Exhaustion function      191
Existence theorem for the a operator      194
Extension of an analytic function      14 213
Exterior derivative      507
Exterior differential operator      20
Exterior product      500
Faa de Bruno      113 459
Factoring holomorphic functions      12 310
Faran, J.      488
Farkas, H.      441
Fatou — Bieberbach domain      170 476
Fatou, P.      476
Federbush, P.      97
Federer, H.      495
Fefferman analytic type      468
Fefferman geometric type      468
Fefferman lemma      1 71
Fefferman theorem      210 377 462
Fefferman type      470 472
Fefferman type 2, genericity of      491
Fefferman, C.      10 59 60 68 70 351 354 357 376 441 443 453 470
Fenchel, W.      117
Fermat, P.      117
Finite 1-type      472
Finsler metric      434
Fisher, S.      441
Foliation      310 312 433 486
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте