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| Авторизация |
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| Hille E., Phillips R.S. — Functional Analysis and Semi-Groups |
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| Предметный указатель |
Semi-group, Lie, assumptions  741 742
Semi-group, nilpotent 537
Semi-group, normal 593
Semi-group, normed 718
Semi-group, of class (A),  , etc. see "Classes of s.-g.'s"
Semi-group, of contraction operators 312
Semi-group, of factor type 546 574
Semi-group, of positive contraction (transition) operators 642 652
Semi-group, of self-adjoint operators 587
Semi-group, one-parameter s.-g. 259 277 302
Semi-group, one-parameter s.-g., canonical 259
Semi-group, one-parameter s.-g., in Markoff algebra 635
Semi-group, orthogonal 561
Semi-group, parameter s.-g. 258
Semi-group, parameter s.-g., in (B)-space 727
Semi-group, parametric s.-g. 258 288
Semi-group, parametric s.-g., n-p. s.-g. 258 334
Semi-group, parametric s.-g., p. transformation s.-g. 327 741
Semi-group, power s.-g. 539
Semi-group, property 618
Semi-group, quasi-nilpotent 481
Semi-group, representation 144 258 715
Semi-group, s.-g. commuting with translations 546 574 651
Semi-group, s.-g. connected with Abel summability 607
Semi-group, s.-g. represented by binomial series 488 669
Semi-group, s.-g. with given norm 536
Semi-group, sub-s.g. 257
Semi-group, topological 257
Semi-group, transformation 258
Semi-group, translation 530
Semi-group, type of a s.-g. 306
Semi-group, with infinitesimal generator having given spectrum 551
Semi-group, with real positive spectra 496
Semi-module 237 256
Semi-module, additive resultant (= least s.-m.) 262
Semi-module, angular 252 265 269
Semi-module, convex 560
Semi-module, core of s.-m. 262
Semi-module, in  239 263
Semi-module, in  261
Semi-module, irreducible element of s.-m. 262
Semi-module, reducible 262
Semi-module, s.-m. of infinitesimal operators 331
Semi-module, s.-m. of infinitesimal operators, i. generators 757
Semi-module, spinal 269
Semi-simple algebra 133 699
Semi-simple algebra, weakly s.-s.a. 708
Separable 4
Series, (F)-power 775
Series, (F)-power, radii of convergence 777
Series, (G)-power 770
Series, asymptotic 349 351 487 488
Series, Fourier 468 543
Series, Fourier, absolutely convergent 136
Series, interpolation, binomial = Newton 231 489 669
Series, interpolation, Sterling 494
Series, lacunary 546
Series, Laurent 97
Series, null 232
Series, orthogonal, Hermitian 571 610
Series, orthogonal, Laguerre 610
Series, orthogonal, Legendre 611
Series, Taylor 97
Series, with terms in a (B)-algebra 122
Series, with terms in a (B)-space 60
Severi, F. 740
Siegel, C.L. 677
Sierpinski, W. 263 588
Silov, G. 121 129 139 140 152 175
Silov, G., boundary 139
Silva, J.S. 109
Silverman, L.L. 613 616
Simply ordered 2
Singer, I.M. 140
Smith, H.L. 5
Smith, P.A. 727
Sobczyk, A. 29 30
Space of type L 68
Space, abstract 2
Space, additive group s. 10
Space, adjoint (= conjugate) s. 32
Space, adjoint (= conjugate) s.,  -a. s. 422 429
Space, algebraic s. 21
Space, Banach s. 16
Space, compact s. 5
Space, compact s., locally c. 5
Space, compact s., s. weakly c. 35
Space, compact s., sequentially c. 8
Space, complete 8
Space, complete, weakly (sequentially) c. 35
Space, Euclidean 13
Space, flat s. 11
Space, Hausdorff 3
Space, Hilbert 17
Space, linear 12
Space, metric 7
Space, metric, metrizable 8
Space, normal 5
Space, normed linear 17
Space, product 5
Space, quotient s. 18
Space, reflexive (= regular) linear s. 33
Space, reflexive (= regular) linear s., -r. 431
Space, regular 5
Space, separable 4
Space, topological 4
Space, uniformly convex 19
Spectral, classification 54
Spectral, locally s. 713
Spectral, mapping theorems 171 203 459 461 464 693
Spectral, properties  54
Spectral, radius 125 685
Spectral, resolution 177
Spectral, resolution, closed operator 207
Spectral, s. singularities 129
Spectral, set 177
Spectral, theory 123 453
Spectral, theory, compact operator 180
Spectral, theory, operator with compact resolvent 210
Spectrum, change under extension 55 129
Spectrum, of  467
Spectrum, of element in (B)-algebra with unit 123
Spectrum, of element in (B)-algebra with unit, without u. 684
Spectrum, of infinitesimal generator 344 457 484
Spectrum, of linear operator (point, continuous, residual s.) 54
Spectrum, of linear operator (point, continuous, residual s.), extended s. 57
Spectrum, of residue class 698
Spectrum, resolution of s. 177 207 688
Spectrum, upper semi-continuity of s. 167 199 448 690
Sphere 8
Spinal semi-module 269
Sreider, Y.A. 149 153
Stable, properties 388 403 414
Stable, solution 357 617
Star, algebra 22
Star, algebra, (A*)-a. 22 151
Star, algebra, (B*)-a. 22 157
Star, algebra, (C*)-a. 161
Star, algebra, (W*)-a. 161 584
Star, c.-s. set 109.
Steffensen, J.F. 760
Steinhaus, H., Banach — S. theorem 41
Stieltjes, T.J., Laplace — S. transform 213
Stieltjes, T.J., Laplace — S. transform, convergence 213
Stieltjes, T.J., Laplace — S. transform, convergence, abscissa of c. 215
Stieltjes, T.J., Laplace — S. transform, inversion 218
Stieltjes, T.J., Laplace — S. transform, uniqueness 216
Stieltjes, T.J., Riemann — S. integral 62
Stirling's interpolation series 494
Stochastic process 634
| Stochastic process, differential 648
Stochastic process, in in (spatially and temporally homogeneous) 648
Stochastic process, Markoff 634
Stone, M.H. 17 101 102 117 128 151 158 162 303 435 583 584 715
Stone, M.H., S. theorem 583 598
Stone, M.H., S. — Weierstrass theorem 151
Strong, bounded variation 59
Strong, case 278 302 342
Strong, continuity 58
Strong, continuity, absolute c. of set function 76
Strong, continuity, in s. operator topology 59
Strong, convergence 60
Strong, convergence, in s. operator topology 60
Strong, convergence, unconditional c. 61
Strong, countable additivity 75
Strong, differentiability 59
Strong, ergodic theorems 509 518
Strong, measurability 72 74
Strong, topology 35
Strong, topology, operator t. 52
Structural constants 750
Subadditive function 237
Subadditive function, admissible 268
Subadditive function, boundedness of 241 253
Subadditive function, continuity of 246
Subadditive function, continuity of, c. in mean of 249
Subadditive function, differentiability 250
Subadditive function, infinitary s. f. 239
Subadditive function, limit functions of s.f. 246
Subadditive function, moduli of continuity 249
Subadditive function, negative s.f. 243
Subadditive function, positive-homogeneous s.f. in 252
Subadditive function, rate of growth of 243 254
Subgroup 10
Subgroup, invariant (= normal) 119 120 683
Submultiplicative function 141 242
Submultiplicative function, properties 242 397 414 450
Suboperative function 274 742
Suboperative function, boundedness 742
Subsemi-group 257
Subspace, closed linear (least c. l.s.) 13
Subspace, linear (least l.s.) 11
Suchumlinov, G. 109
Summability, Abel 321 543 556 581 607
Summability, Borel 315
Summability, Cesaro 321 613 616
Summability, Euler — Knopp 615
Summability, Hausdorff 613
Summability, Hoelder 616
Sz.-Nagy, B. 17 303 435 583 584 587 593 718
Szasz, O. 534
Szegoe, G. 103 124 243 572 611 669
Tamarkin, J.D. 212 227 441 546 581 591 616 667
Tauberian theorems 155 503 505
Tauberian theorems, Andersen 507
Tauberian theorems, Pitt 506
Tauberian theorems, Wiener 155
Taylor expansion 97 111
Taylor expansion for semi-group of operators 350 487
Taylor expansion of (L)-analytic function 770
Taylor expansion, generalization of 316 533
Taylor, A.E. 56 67 92 93 109 164 168 193 199 202 203 760 778
Tchebycheff, P.L., inequality 313
Tillmann, H.G. 627
Titchmarsh, E.C. 566 600
Topological, additive group 10
Topological, algebra 21
Topological, concepts 2
Topological, linear space 12
Topological, semi-group 257
Topological, space 4
topology 3
Topology in (B)-space, strong 35
Topology in (B)-space, weak 35
Topology in (B)-space, weak* 37
Topology, finite 14
Topology, operator t. (strong, uniform, weak) 52
Topology, relative t. 4
Topology, uniform t. 10
Topology, weaker t. 7
Transform, Borel 340
Transform, Dirichlet 603
Transform, Fourier 566 599 604
Transform, Gauss — Weierstrass 578 602 652 678
Transform, Laplace (L. — Stieltjes) 213
Transform, Poisson 579 604
Transformation 5
Transformation, additive 23
Transformation, adjoint 42
Transformation, bounded 24 41
Transformation, closed 40 45
Transformation, compact (weakly c.) 48
Transformation, continuous 5
Transformation, convergence preserving 607 609
Transformation, degenerate 48
Transformation, extension of 40
Transformation, graph of 6 40
Transformation, homogeneous (real-h.) 24
Transformation, inverse 6
Transformation, inverse, i. for linear t. 42
Transformation, linear 24 40
Transformation, semi-group 258
Transition, operator 353 636
Transition, semi-group in 652
Transition, semi-group in  660
Translations, in Lebesgue spaces 535
Translations, left t. in residue class system 712
Translations, left t. in residue class system, in semi-group 258
Translations, s.-g. of t. on a spinal semi-module 538
Translations, s.-g. of t. on real line 530
Translations, s.-g. of t. on real line, adjoint s.-g. 534
Translations, semi-groups commuting with t. 546 574 651
Translations, unitary group of t. 593 599
Tricomi, F. 543 580
Tukey, J.W. 12
Tychonoff, A. 5 13
Tychonoff, A., fixed point theorem 15
Uniform, boundedness principle 26
Uniform, boundedness principle, theorem 26 34
Uniform, case 278
Uniform, convergence 60
Uniform, convexity 19
Uniform, ergodic theorems 288 509 521
Uniform, measurability 74
Uniform, operator topology 52
Uniform, operator topology, continuity 59
Uniform, operator topology, convergence 61
Uniform, operator topology, differentiability 59
Uniqueness, for abstract Cauchy problem 619
Uniqueness, of semi-group generator 357
Uniqueness, of solution of problem C 297
Uniqueness, theorem for holomorphic functions 97
Uniqueness, theorem for holomorphic functions, for (G)-differentiable functions 111
Uniqueness, theorem for Laplace — Stieltjes transforms 216
Unitary operator 584
Unitary operator, group of u.o.'s 598
Unitary operator, group of u.o.'s, translations 593 599
Urysohn, P. 7 8
Variation, bounded v. (strong, weak) 59
Variation, convergence in v. 649
Variation, normalized function of b.v. 213
Variation, numerically-valued function of b.v. 614
Variation, numerically-valued function of b.v., algebras 141 615 649
Variation, total v. (strong t. v.) 59
Vector sum 262
Visser, C. 502
Vitali, G., theorems 104 113
Volterra, V. 674 701
Volterra, V., functions of composition 109 617
von Neumann, J. 35 36 52 285 286 502 718 724 728
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