Hewitt E., Ross K.A. — Abstract Harmonic Analysis (Vol. 2) :: Электронная библиотека попечительского совета мехмата МГУ

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Hewitt E., Ross K.A. — Abstract Harmonic Analysis (Vol. 2)

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Название: Abstract Harmonic Analysis (Vol. 2)

Авторы: Hewitt E., Ross K.A.

Язык:

Рубрика: Математика/Анализ/Продвинутый анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1970

Количество страниц: 771

Добавлена в каталог: 02.04.2005

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Предметный указатель

Hadamard set      445
Hadamard, J.      445
Hadwiger, H.      679
Hahn — Banach theorem      454—455 I
Hahn, H.      326
Hahn, L.      414
Hall, M. Jr.      54
Halmos, P. R.      314
Hardy — Littlewood maximal theorems      669
Hardy, G. H.      520 629 672
Harish — Chandra      207
Harmonic analysis      547
Hartman, S.      576
Hausdorff — Young inequality      227 229
Hausdorff, F.      252
Hausner, M.      153
Haviland, E. K.      325
Hecke, E.      153 483 548
Heisenberg’s commutation relations      322
Helgason, S.      60 113 114 146 147 152 414 415 437 446 447
Helgason’s theorem      398
Hellinger, E.      326
Helson set      563
Helson, H.      414 516 521 570 575 601
Herglotz, G.      154 289 325
Hermitian element      313 I
Hermitian matrix      7 I
Hermitian operator      467 I
Hermitian operator, spectral theorem for      491 I
Hermitian operator, spectrum is real      484 I
Herz, C. S.      513 549 551 602 603 604 605
Hewitt, E.      114 115 208 252 280 290 291 326 327 430 431 442 446 447 448 449 515 519 574 629 669 679
Hilbert space      464 I
Hilbert space tensor product      686
Hilbert space, dimension of      465 I
Hilbert space, direct sum of      468 I
Hilbert, D.      154
Hille, E.      413 414
Hirschman, I. I. Jr.      414 629 726
Hochschild, G.      153 198 205 207 208
Holder’s Inequality      137 I
Holder’s inequality in $\mathfrak{F}(I)$       72
Homogeneous function      452 I
Homogeneous space      9 I
Homogeneous space, quotient spaces      37 I
Homomorphism group      374 I
Homomorphism of dual objects      21
Homomorphism, adjoint      392 I
Homomorphism, algebra      470 I
Hopf, E.      326
Hormander, L.      414
Hulanicki, A.      99
Hull of an ideal      487
Hurewicz, W.      565
Ideal in a semigroup      100 I
Ideal of an algebra      469 I
Ideal, regular      475 I
Ideal, regular left      474 I
Idempotent      99 I
Identity representation      3
Iltis, R.      60 101 113 367 414 447
Independent subset of a group      441—442 I
Independent subset of a group, pure      448 I
Induced unitary representations      462
Infinite, conventions regarding      119 I
Infinitesimal operators      126
Inner automorphisms      4 I
Inner automorphisms, topological group of      439 I
Inner product      464 I
Inner product for       3 I
Inner product for $\mathfrak{F}_2$       73
Inner product for $\mathfrak{L}_2$       39 I
Inner product space      464 I
Integral, Lebesgue      119 I
Intertwining transformation      1
Invariant finitely additive measures      242—245 I
Invariant linear functional      184 I
Invariant means      230 I
Invariant means for $\mathfrak{B}^r(G)$       239 I
Invariant means for $\mathfrak{B}^r(R)$       240 I
Invariant means for $\mathfrak{B}^r(S)$       237 I
Invariant means for $\mathfrak{U}(G)$       250—252 I
Invariant means, groups not admitting      236 I
Invariant means, uniqueness of      241 I
Invariant pseudo-metric      68 I
Invariant set function      185 I
Invariant subspace (under a representation)      312 I
Inverse $\mathfrak{L}_p$ , Fourier transform      225 227
Inverse Fourier transform      210 228 351
Inverse Fourier — Stieltjes transform      210
Inverse mapping system      55 I
Inverses, form an open set      473 I
Inversion formulas      225 240 297 363
Inversion invariant functional      184 I
Inversion invariant set function      185 I
Inversion mapping      4 I
Irreducible representation      323 I
Irreducible representation, equivalent properties      324 I
Irreducible set of operators      323 I 6
Irregular maximal ideals      466 515
Isometry, linear      464 I
Isomorphism of dual objects      21
Isomorphism theorems      5 I 44—45
Iwahori, Nagayoshi      207
iwahori, nobuko      198
Iwasawa, K.      509
Jans, J. P.      454
Jerison, M.      518
Johnson, B. E.      287 290 650
k-set      552
Kac, G. I.      208
Kac, M.      520
Kaczmarz, S.      414 446
Kahane — Salem sets      575
Kahane, J.-P.      446 550 551 575 576 602 603 604
Kakutani — Oxtoby extension of Haar measure      216 I
Kakutani, S.      99 113 326 518 519 574
Kampen, E. R. van      60 113 366 446 483
Kaplansky, I.      372 480 481 521
Katznelson, Y.      247 250 432 517 575 576 602 603 604
Kaufman, R. P.      326 567 575 576 602 713
Kawada, Y.      109 353
Kelley, J. L.      207 486 710
Kennedy, P. B.      448
Kernel of a semigroup      101 I
Kernel of a set      487
Kinukawa, M.      550
Kitchen, J. W. Jr.      290
Kolmogorov, A. N.      286
Konig’s theorem      217 I
Koosis, P.      287 550 602
Koranyi, A.      679
Korenblyum, B. I.      521
KOREVAAR, J.      520
Krein algebra      162
Krein algebra, $\mathfrak{T}(G)$ is      163
Krein duality theorem      157 176
Krein — Mil’man theorem      460 I
Krein — Mil’man theorem applied      330 I
Krein, M. G.      157 178 206 207 208 251 289 290 327 366 367
Kronecker approximation theorems      431 I 435 436
Kronecker delta function      3 I
Kronecker set      552 574
Kunze, R. A.      113 114 252
Larsen, R.      472 509
Lattice      461 I
Lebesgue integral      119 I
Lebesgue — Radon — Nikodym theorem      144 I
Lebesgue, H.      679
Lebesgue’s theorem on dominated convergence      181—182 I

Left approximate unit, bounded      87 (see also “Approximate unit”)
Left Banach A -module      263
Left cancellation law      98—99 I
Left Haar integral      184—194 I (see also “Haar integral”)
Left Haar measure      194 I (see also “Haar measure”)
Left ideal in a semigroup      100 I
Left ideal of an algebra      469 I
Left ideal, regular      474 I
Left invariant functional      184 I
Left invariant mean      230 I (see also “Invariant means”)
Left invariant pseudo-metric      68 I
Left invariant set function      185 I
Left normed A -module      263
Left quasi-inverse      471 I
Left translate of a function      184 I
Left translation      4 I
Left uniform structure      21 I
Left unit relative to I      474—475 I
Length of reduced word      8 I
Length of solvable group      142
Levitan, B. M.      251
Levitzki, J.      474 483
Lichtman, D. R.      238 548
Lie, S.      142
Lie’s theorem      143
Lindelof property      11 I
Linear function      452 I
Linear function, bounded      454 I
Linear function, norm of      454 I
Linear functional(s)      452 I
Linear functional(s) unbounded on $\mathfrak{C}_{00}$       167 I
Linear functional(s), bounded      454 I
Linear functional(s), infinite product of      159 I
Linear functional(s), inversion invariant      184 I
Linear functional(s), left invariant      184 I
Linear functional(s), multiplicative      474 I
Linear functional(s), nonnegative      461 I
Linear functional(s), nonnegative on $\mathfrak{C}_{00}$       120 I
Linear functional(s), norm of      454 I
Linear functional(s), positive      316 I
Linear functional(s), product of      152 I 159
Linear functional(s), relatively bounded      461 I
Linear functional(s), strictly positive      461 I
Linear functional(s), two-sided invariant      184 I
Linear groups      7 I 29—31
Linear groups, topologies in      24 I
Linear isometry      464 I
Linear space (s), inner product      464 I
Linear space (s), locally convex      453 I
Linear space (s), normed      453 I
Linear space (s), tensor product of      680
Linear space (s), topological      453 I
Linear space(s)      451—452 I
Linear space(s), Banach      455 I
Linear space(s), conjugate of      457 I
Linear space(s), direct sum of      452 I
Linear space(s), Hilbert      464 I
Linear subspace      452 I
Linear transformation      452 I
Linearly independent set      681
Littlewood, J. E.      413 414 512 629 672
Littlewood’s Tauberian theorem      512
Littman, W.      414
Liu, T.      472 509
Local direct product      56—57 I
Local direct product, character group of      373 I
Local direct product, self-dual      422 I
Locally $\iota$ -almost everywhere      124 I
Locally $\iota$ -null function      124 I
Locally $\iota$ -null set      124 I
Locally almost everywhere      124 I
Locally arcwise connected space      12 I
Locally belongs      495
Locally bounded group      215 I
Locally compact groups, normality of      76 I
Locally compact space      11 I
Locally connected compact Abelian groups      399 I
Locally connected space      111
Locally convex space      453 I
Locally countably compact space      111
Locally Euclidean space      13 I
Locally Euclidean space, linear groups are      29—31 I
Locally finite      13 I
Locally null function      124 I
Locally null nonnull sets      127 I 228
Locally null set      124 I
Loomis, L. H.      115 169 246 251 252 290 315 520 521 552
Lower semicontinuous function      121 I
Lyubarskh, G. Ya.      154
M(G)      269 I
M(G) = $M_d\oplus M_s\oplus M_a$       273 I
M(G) is conjugate space of (?0{G)      170 I
M(G), is closed ideal      272 I
M(G), is closed ideal      271 I
M(G), is closed subalgebra      270 I
M(G), is closed subspace      273 I
M(G), 1-dimensional ideals      309—310 I
M(G), adjoint operation in      300 I
M(G), commutative if and only if G is      302 I
M(G), minimal two-sided ideals      12
Maak, W.      154 207 312 519
Mackey, G. W.      114 315 323 326 327 366 483 520 521
Mackey’s theorem      315
MacLane, S.      6 45 683
Malliavin, P.      575 576 602 604
Malliavin-Brameret, M.-P.      576
Malliavin’s theorem      597
Mandelbrojt, S.      521
Mapping      2 I
Marcinkiewicz, J.      414
Marriage lemma      248 I
Martingale theorem      656
Maschke, H.      483
Mathias, M.      289 325
Matrix (special types defined)      7 I
Matrix group      7 I (see also “Linear group”)
Matrix units      474
Maximal function      606 607
Maximal ideal space      478 I
Maximal ideals, irregular      466 515
Mayrhofer, K.      133
Mazur, S.      518
Mazurkiewicz, St.      412
McCarthy, C. A.      114
McGehee, O. C.      605
Mean      230 I (see also “Invariant means”)
Mean periodic functions      551
Measurable function      118 I 125
Measurable representation, weakly      335 I
Measurable set      125 I
Measure (s), product of complex      182 I
Measure space, basis of      215 I
Measure space, character of      215 I
Measure space, complete      216 I
Measure space, extension of      216 I
Measure(s)      118 I
Measure(s) concentrated on a set      180 I
Measure(s), absolutely continuous      180 I 269
Measure(s), Caratheodory outer      123 I
Measure(s), continuous      269 I 132
Measure(s), convolution of      266 I
Measure(s), Haar      194 I (see also “Haar measure”)
Measure(s), invariant finitely additive      242—245 I
Measure(s), inversion invariant      185 I
Measure(s), left invariant      185 I
Measure(s), product of      152 I
Measure(s), purely discontinuous      269 I
Measure(s), regular      127 I
Measure(s), singular      180 I 269
Measure(s), support of      124 I

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