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Hille E., Phillips R.S. — Functional Analysis and Semi-Groups
Hille E., Phillips R.S. — Functional Analysis and Semi-Groups



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Название: Functional Analysis and Semi-Groups

Авторы: Hille E., Phillips R.S.

Язык: en

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1957

Количество страниц: 808

Добавлена в каталог: 09.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Covering      4
Cramer, H.      316 653 654 657
Dahlgren, L.      534
Day, M.M.      28 89 502
De La Vallee-Poussin, C.J.      237
de Laplace, P.S., equation      673
de Laplace, P.S., L. — Stieltjes transform      213
de Laplace, P.S., L. — Stieltjes transform, convergence      213
de Laplace, P.S., L. — Stieltjes transform, convergence, abscissa of      215
de Laplace, P.S., L. — Stieltjes transform, inversion      218
de Laplace, P.S., L. — Stieltjes transform, uniqueness      216
de Laplace, P.S., transform      213
de Laplace, P.S., transform, inversion      218 339 349 352 361 362 364
de Laplace, P.S., transform, representation by      230
de Laplace, P.S., transform, uniqueness      216
de Siguier, J.A.      256
Decomposition theorems      320 514 516 518 520 525
Dense      4
Dense, nowhere d.      4
Determining, manifold      34
Determining, set      34
Devinatz, A.      592
Diameter      8
Dickson, L.E.      256
Dieudonne, J.      29 89
Differentiability      59
Differentiability of semi-group elements      284
Differentiability of semi-group elements, counter example      281
Differentiability of sets      719
Differentiability of subadditive functions      250
Differentiability, (F)-d.      110
Differentiability, (G)-d.      109 766
Differentiability, (L)-d.      115
Differentiability, strong d. of semi-group of operators      310
Differentiability, strong d. of semi-group of operators, for elements in domain of infinitesimal operator      308
Differentiability, strong d. of semi-group of operators, infinitesimal generator      345
Differential equations, Cauchy's problem      617 674
Differential equations, elliptic      673
Differential equations, existence theorem      67
Differential equations, Hermite — Weber      582
Differential equations, hyperbolic      674
Differential equations, Kolmogoroff      638
Differential equations, parabolic      677
Differential equations, Riccati      687
Differential operators, Beltrami      677
Differential operators, derivative      531 535 602
Differential operators, derivative, conjugate of d.      556 579 605
Differential operators, derivative, second d.      578 603
Differential operators, elliptic      673
Differential operators, Hermite      610
Differential operators, Hermite — Weber      610 672
Differential operators, hyperbolic      674
Differential operators, Laguerre      610
Differential operators, Legendre      611
Differential operators, parabolic      677
DIMENSION      11
Direct sum, of linear systems      12
Directed set      5
Dirichlet, P.G. Lejeune, integral      218
Dirichlet, P.G. Lejeune, Mehler — D. integral      612
Dirichlet, P.G. Lejeune, representation of semi-group      547 557 561
Dirichlet, P.G. Lejeune, series      547 560 607 609
Dirichlet, P.G. Lejeune, transform      603
Dissolvent      684
Dissolvent, d. set      684
Dissolvent, first (second) d. equation      686
Distribution, Cauchy      658
Distribution, function      636 648
Distribution, function, arithmetic of      657
Distribution, Gaussian      657
Distribution, Poisson      314 636 650 657
Doetsch, G.      612
Domain (= open connected set), maximal d. of analytic existence      476
Domain (= open connected set), maximal d. of analytic existence, for semi-group      477 485 538 557 560
Domain of existence (holomorphism, meromorphism)      98
Domain of infinitesimal operator      307
Domain of infinitesimal operator, powers      308
Domain of integrity      10 616
Domain of transformation      5
Doob, J.L.      635 637 638 639 648
Dunford, N.      34 47 60 61 62 74 76 77 92 93 164 168 169 171 177 279 291 304 307 312 336 502 503 509 521 534 621 625 649 751
Dunford, N., minimal equation theorem      169
Dye, H.A.      417
Eberlein, W.F.      37 502
Eidelheit, M.      28
Einstein numbers      271
Elements of algebras, adjoint (self-a.)      22
Elements of algebras, idempotent      121
Elements of algebras, inverse      20
Elements of algebras, inverse, quasi-i.      680
Elements of algebras, nilpotent      121
Elements of algebras, nilpotent, properly q.-n.      699
Elements of algebras, nilpotent, quasi-n.      121 128 699
Elements of algebras, regular      20
Elements of algebras, regular, quasi-r.      680
Elements of algebras, regular, semi-r.      702
Elements of algebras, reversible      681
Elements of algebras, singular      20 120
Elements of algebras, unit      20
Elements of algebras, zero-divisor      121
Elements of algebras, zero-divisor, generalized z.-d.      121 129
Embedding theorem      285 288 495
Endomorphisms, algebra of      51
Endomorphisms, irreducible      702 712
Endomorphisms, irreducible, isomorphic to primitive algebra      711
Endomorphisms, semi-simplicity      702
Endomorphisms, topologies      51 52
Equivalence classes, m. a linear subspace      18
Equivalence classes, m. perturbing classes of operators      410
Equivalence classes, m. the linear bounded transformations      45
Equivalence classes, modulo an ideal      133 696
Equivalence classes, normed topology for e.c.m. linear subspace      18
Equivalence classes, normed topology for e.c.m. linear subspace, m. ideal      134 697
Ergodic, Abel (Cesaro, weakly, strongly, uniformly)      508 511
Ergodic, hypothesis      502
Ergodic, projections      514
Ergodic, theorems      303 502 508 592
Ergodic, theorems, strong      518
Ergodic, theorems, uniform      521
Ergodic, theorems, weak      512
Euler, L., constant      666
Euler, L., E. Knopp summability      615
Euler, L., integral      664
Exponential, formulas      302 311 354 487 494
Exponential, function      68 122 172 338
Exponential, function, addition theorem      172 277 278
Exponential, function, periods      173 177
Exponential, solutions      282 285
Extension of, algebra (change of spectrum)      129
Extension of, holomorphic functions      164 689
Extension of, holomorphic functions, principal e.      165 690
Extension of, holomorphic semi-group      473 537
Extension of, linear functional      28
Extension of, linear transformation      40
Extension of, linear transformation, change of spectrum      55
Factor, f. semi-groups on Fourier series      546
Factor, f. semi-groups on Fourier series, F. transforms      574
Factor, f. semi-groups on Fourier series, Hermitian series      580
Factor, f. sequences      544
Factor, problems for Fourier series      544
Factor, problems for Fourier series, F. transforms      566
Factor, problems for Fourier series, Hermitian series      571
Factor, weight f.      141
Fantappie, L.      92 109 168
Favard, J.      534
Fejer, L., kernel      155 221
Feller, W.      305 356 360 364 373 374 421 422 606 639 654 658 673 674
Fenchel, W.      253
Field, normed      127
Field, scalar      11
Field, skew      127 694
Fine structure spectral mapping theorems      204 464
Finite, intersection property      4
Finite, subadditive function      238
Finite, topology (closure, interior)      14
Finitely, f.-valued function      72
Finitely, open set      14
Flat space      11
Form, multilinear      760
Form, polar      762
Form, symmetric      760
Fourier, J.B.J., series      468 543
Fourier, J.B.J., series, absolutely convergent      136
Fourier, J.B.J., transform      566 599 604
Fourier, J.B.J., transform, characteristic function      653 660
Fractional integration      217 231 663
Frechet, M.      109 637
Frechet, M., (F)-analytic      112 778
Frechet, M., (F)-differential      110
Frechet, M., (F)-power      768
Frechet, M., (F)-power series      775
Fremberg, N.E.      675
Frequency function      651
Frobenius, G.      127 168 256
Frobenius, G., F. — Wedderburn norm      718
Fubini's theorem      84
Fuglede, B.      594
Fukamiya, M.      303
Functionals      7
Functionals, analytic      109 168
Functionals, bilinear      33
Functionals, linear f.      26
Functionals, linear f., bounded l.f.      30
Functionals, linear f., extension of      28
Functionals, multiplicative linear f.      135
Functionals, subadditive      25
Functionals, subadditive, positive-homogeneous      29
Functionals, subadditive, positive-homogeneous, p.-h. and circular      29
Functions of bounded variation      59
Functions of bounded variation, algebras      141 615 649
Functions of bounded variation, normalized      213
Functions of composition      617
Functions of several complex variables      106
Functions of support      234 253
Functions on algebra to algebra      66 115 164
Functions on maximal ideals      136 717
Functions on scalars to algebra      121
Functions on scalars to algebra, on s. to vectors      58 92
Functions on vectors to scalars      26
Functions on vectors to scalars, on v. to v.      23 109 760
Functions, analytic      109
Functions, analytic, Frechet      112
Functions, analytic, Lorch      115
Functions, canonical      728
Functions, characteristic      653 660
Functions, composite      171 203
Functions, Conjugate      556 579 605
Functions, continuous (strongly, weakly)      58
Functions, continuous in operator topologies      59
Functions, convex      239 252
Functions, countably-valued      72
Functions, determining (generating)      221
Functions, differentiate      59
Functions, distribution      313 636 648
Functions, entire      100
Functions, expectation of f.      313
Functions, finitely-valued      72
Functions, frequency      651
Functions, harmonic      556 579
Functions, harmonic, sub-harmonic      100
Functions, holomorphic      92
Functions, holomorphic, in half-plane      227
Functions, indicator      480
Functions, integrable (B)      79
Functions, integrable (P)      77
Functions, mass      614
Functions, measurable vector-valued f.      72
Functions, measurable vector-valued f., m. operator-valued f.      74
Functions, moment      614
Functions, numerically-valued (= functional)      7
Functions, operative f.      275
Functions, operator f.      59
Functions, separably-valued      72
Functions, set f., absolutely continuous      76
Functions, set f., countably additive      75
Functions, simple      72
Functions, subadditive      25 237 280 306
Functions, subadditive, admissible      268
Functions, subadditive, infinitary      239
Functions, subadditive, limit      246
Functions, subadditive, negative      243
Functions, subadditive, positive-homogeneous      252
Functions, submultiplicative      141 242
Functions, suboperative      274 742
Fundamental, set      13
Gantmacher, V.      50
Garding, L.      606 677 751
Gateaux, R.      109
Gateaux, R., (G)-differentiability      110 766
Gateaux, R., (G)-differential      109
Gateaux, R., (G)-power      768
Gateaux, R., (G)-power series      770
Gauss, C.F., G. — Weierstrass transform      578 602 652 678
Gauss, C.F., normal distribution      657
Gelfand, I.      52 60 62 72 77 92 103 117 121 125 128 131 132 136 139 141 147 152 153 157 164 168 171 303 308 310 332 697 699 714 715 716 751
Gelfand, I., representation theory      136
Generation, groups of operators      364
Generation, groups of operators, with analytical group extension      341
Generation, groups of operators, with holomorphic semi-group extension      500
Generation, semi-groups of operators      356
Generation, semi-groups of operators, of c. $(1, A)_{u}$      377
Generation, semi-groups of operators, of c. $(1, C_{1})$      372
Generation, semi-groups of operators, of c. $(A)_{\infty}$      380
Generation, semi-groups of operators, of c. $(C_{0})$      360
Generation, semi-groups of operators, of c. $H(\Phi_{1}, \Phi_{2})$      383 485
Generation, semi-groups of operators, of c. (1, A)      364
Generation, semi-groups of operators, of class (A)      373
Giorgi, G.      168
Graph      6 40
Graph, closed g. theorem      47
Graves, L.M.      62 109 760
Green, G., function      617
Group of reversible elements      681
Group, additive      9
Group, additive, topological      10
Group, analytical      278 341 461 494
Group, continuous power      174 285
Group, maximal      119
Group, normed      715
Group, normed, n. Lie      718
Group, one-parameter strongly continuous g. of operators      303 459 470 471 665
Group, one-parameter strongly continuous g. of operators, generation of      364
Group, one-parameter strongly continuous g. of operators, unitary g.      593 598 599
Group, one-parameter strongly continuous g. of operators, with holomorphic semi-g. extension      500 665
Group, quotient ( = factor)      119
Group, transformation g.      617
Groupoid      257
Growth of norm of semi-group of operators      306 478 536 552 554 563
Growth of subadditive functions      243
Growth, functions measuring g.      104 229 233 235 480 490
Gustin, W.      166
Hadamard, J.      489 617 618 674
Hadamard, J., Cauchy — H. theorem      96
Hadamard, J., H. — Huygen's principle      618
Hadamard, J., operator      672
Hahn, H.      28 30 31 33
Hahn, H., H. — Banach theorem      29
Hall, M.      680
Halmos, P.R.      17 68 71 141 286
Hardy, G.H.      239
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