Hille E. — Methods in classical and functional analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Hille E. — Methods in classical and functional analysis

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Название: Methods in classical and functional analysis

Автор: Hille E.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1972

Количество страниц: 494

Добавлена в каталог: 05.05.2013

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Предметный указатель

Fubini, G.      135
Functional equations      412-436
Functional equations, "cryptoanalysis      412-417
Functional equations, Acz $\acute{e}$ l — Ngintern type      426-436
Functional equations, addition theorems      424 435
Functional equations, antiderivations      372 379
Functional equations, Bourlet type      424 426 435
Functional equations, Cauchy and generalizations      418-423 435
Functional equations, derivation      424
Functional equations, dissolvent      280 287-290
Functional equations, mean value type      439-449
Functional equations, multiplication theorems      424
Functional equations, Picard      169
Functional equations, resolvent      36 281-290 413
Functional equations, Schr $\ddot{o}$ der      426 436
Functional inequalities      362-379 380-411
Functional inequalities, absurd      363
Functional inequalities, Carath $\acute{e}$ odory      366
Functional inequalities, classification      362-364
Functional inequalities, determinative      363 364-367
Functional inequalities, Gronwall      370
Functional inequalities, multiplicative      376-379
Functional inequalities, Nagumo      366 373
Functional inequalities, restrictive      363
Functional inequalities, trivial      362
Functionals      7
Functionals, additive on matrices      421
Functionals, bilinear      7
Functionals, bounded      8
Functionals, inner product      7 12
Functionals, linear      7 12 60-63 76-77 317-322
Functionals, linear multiplicative      63 103 149
Functionals, multiplicative on matrices      422
Functionals, on       109
Functionals, on       103
Functionals, on $l_{p}$       92
Functionals, on $L_{p}(S)$       146
Functions, $\mathfrak{B}$ -holomorphic      282
Functions, $\mathfrak{X}$ -holomorphic      252
Functions, abstract holomorphic      249-258
Functions, additive      419
Functions, additive, non-homogeneous      419
Functions, almost periodic      353
Functions, Bessel      71
Functions, bounded variation      107-111
Functions, Cauchy holomorphic      249
Functions, characteristic      134
Functions, characteristic, Fourier series of      155
Functions, continuous      96-107
Functions, continuously differentiable      190
Functions, Fr $\acute{e}$ chet analytic      264 275
Functions, gauge ( = semi-norms)      40 11 181 1
Functions, Green’s      316 471
Functions, indicator      391
Functions, Lorch analytic      275
Functions, meromorphic      181
Functions, piecewise linear      98
Functions, simple      125
Functions, spectral      342 350-353
Functions, subadditive      40 380-400
Functions, subharmonic      255
Functions, suboperative      385
Functions, support      395
Gateaux, (G)-diflerentiable      265 275
Gateaux, R.      249 264
Gauge function (= semi-norm)      40 317 383 396
Gauge function (= semi-norm), circular      319
Gauss, C. F., arithmetico-geometric means      451
Gelfand bounded variation      229
Gelfand integral      248
Gelfand operational calculus      296-304
Gelfand representation theorem      290-296
Gelfand spectral mapping theorem      302
Gelfand spectral radius      52 277
Gelfand uniqueness theorem      300
Gelfand, I. M.      229
Gelfand, Z.      49 290
Generator, infinitesimal      167
Goursat, E.      195
Gram — Schmidt orthogonalization process      3-7 12 69
Gram, Gramian      5 13
Gram, J. P.      4
Graph      306
Graves integral      248
Graves, L. M.      248 264
Green’s function of linear differential equations      316
Green’s function of potential theory      471
Gronwall inequality = lemma      370
Gronwall, T. H.      370 373 379
Group, additive      52 386
Group, of regular elements      81 277
Group, of reversible elements      279
Growth indicator      391
H $\ddot{o}$ lder inequality      88-90 138
H $\ddot{o}$ lder means      450
H $\ddot{o}$ lder — Jensen inequality      400
H $\ddot{o}$ lder, O.      88 400
Hahn — Banach theorem      318
Hahn, H.      322
Hahn, regular      177
Halmos, P.      50 161
Hamel additive non-measurable      419
Hamel basis      419
Hamel, G.      419
Hamilton — Cayley theorem      34
Hamilton, Sir W. R.      34
Hardy, G. H.      411
Harmonic mean      447
Hartman, S.      158
Hausdorff algebra      225
Hausdorff positive polynomials      343
Hausdorff space      218
Hausdorff space, linear      220
Hausdorff — Toeplitz theorem      335 341
Hausdorff, F.      218 335 361
Helly, E.      322
Hermite matrix      24
Hermite operators      233
Hermite, C      24
Hermite, Hermitian form      42-50
Highberg, I. E.      264
Hilbert space      69 331 342
Hilbert, D.      183 249
Hill, G. W.      184
Hillf addition formulas      424 435
Hillf functional equations      169 188
Hillf geometric extremal problems      451 456 474
Hillf Landau’s inequality      188
Hillf Taylor’s theorem (semi-groups)      167
Hillf — Thomas — Fermi equation      416 435
Hillf, E.      111 167 188 211 248 275 304 330 371 385 410 411 424 435 474
Hillinger, E.      342
Hoffman, K.      84
Hossz $\ddot{u}$ — Acz $\acute{e}$ l theorem      430 448
Hossz $\ddot{u}$ , H.      422 426 430 435
Hs $\ddot{u}$ , I. — C      112 162 212
Hs $\ddot{u}$ , partial ordering      162
Hull, convex      13
Hypercube      13
Hyperplane      17
Hyperplane, of support      396
Ideals      63 290 291
Ideals, maximal      291
Ideals, proper, trivial, unit      290
Idempotcnt      24 82 277 285 288 294
Image      56 165
Image, pre      56
Implicit function theorem      189-194
Independence, linear      3 10 53
Indicator inequality      392

Indicator of radial growth      391
Induction, principle      86
Induction, retrogressive      401 432
Inequality, Banach      368
Inequality, Carath $\acute{e}$ odory      366
Inequality, Carleman      451
Inequality, Cauchy      3 7
Inequality, differential integral      356
Inequality, functional      362-411
Inequality, Gronwall      369
Inequality, H $\ddot{o}$ lder      88 138
Inequality, indicator      392
Inequality, Kurepa      169
Inequality, Landau — Kallman — Rota      167
Inequality, Minkowski      90 139
Inequality, Nagumo      373
Inequality, triangle      12 54
Inequality, Volterra      369
Infimum      163
Infinitely many unknowns      184-186
Infinitely many unknowns, linear      16
Infinitely many unknowns, minimal      34-35
Infinitely many unknowns, ordinary differential      204-211 373-376 415 417
Information theory      429 447 449
Injection, injective      15 427
Integral equations, Fredholm      181-184
Integral equations, Volterra      179-181
Integral, Bochner      236-248
Integral, Lebesgue      123-136
Integral, Radon — Stieltjes      103 469
Integral, Riemann      112
Integral, Riemann — Stieltjes      103
Integral, Riemann — Stieltjes, abstract      230-236
Integration of Fourier series      155
Involution      24 137 334
Ionescu Tulcea functional equation      423
Ionescu Tulcea functional inequality      383-385
Ionescu Tulcea suboperative functions      385
Ionescu Tulcea, C. T.      383 385 411 423 435
Isometry      69 76 155
Isomorphism      19 69 300
J approximation theorems, Fej $\acute{e}$ r      153 157
Jacobson, N., circle product      279
Jensen convex functions      400-408
Jensen equation      428 434
Jensen inequality      400
Jensen, J. L. W. V.      400 411
Jordan operator      296
Jordan, C., curve theorem      253
K-capacity      470
Kallman, R. R., Landau — Rota theorem      167 183 361
Kellogg, O. D., — Birkhoff-fixed point theorem      159
Kemperman, J. H. B.      419 425
Kernel, Dirichlet      150
Kernel, Fej $\acute{e}$ r      151
Kernel, nullspace      14 57 306
Kernel, of integral equation      178-184
kernel, resolvent      180
kernel, symmetric      183
Koch, H. von      184
Kolmogorov matrix      329
Kolmogorov postulates      437
Kolmogorov, A. N.      84 317 437
Kronecker delta      6
Kronecker, L.      85
Kuczma, M.      435
Kunze, R.      84
Kurepa, S. Kurepa inequality      169
Landau approximation theorem      106
Landau inequality      167
Landau — Kallman — Rota theorem      167 188 361
Landau, E.      167
Lattice      163
Laurent expansion      255 417
Law of cancellation      53
Law of Cosines      5
Law of exponents      19 166
Lebesgue approximation theorems      100 158
Lebesgue dominated convergence theorem      136 240
Lebesgue integral      125
Lebesgue integration      123-136
Lebesgue measurable      119-123
Lebesgue measure      112-119
Lebesgue modulus of continuity      145 149
Lebesgue monotone convergence theorem      126 144
Lebesgue spaces      112-158 136-149
Lebesgue summability      158
Lebesgue — Riemann theorem      150
Lebesgue, H.      100
Lindel $\ddot{o}$ f majorants      204 211
Lindel $\ddot{o}$ f Phragm $\acute{e}$ n-growth indicator      391
Lindel $\ddot{o}$ f Vitali theorem      259
Lindel $\ddot{o}$ f, E.      204 263
Linear transformations      12-18 56- 60 305- 330
Linear transformations, $\mathfrak{X}$ into $\mathfrak{X}$ : $\mathfrak{X}$ equals       110
Linear transformations, $\mathfrak{X}$ into $\mathfrak{X}$ : $\mathfrak{X}$ equals       104
Linear transformations, $\mathfrak{X}$ into $\mathfrak{X}$ : $\mathfrak{X}$ equals $l_{p}$       93-94
Linear transformations, adjoint      44 77 322-325 333
Linear transformations, bounded      57 165 305-310
Linear transformations, closed      307 310-316
Linear transformations, extension of      307
Linear transformations, Hermitian      44 77 333 341-361
Linear transformations, inverse      14 58 65 165 322-325
Linear transformations, normal      78 334 338-341
Linear transformations, unitary      18 78 334
Liouville, J., theorem      257
Lipschitz, R., condition      165 192
Littlewood, J. E.      411
Lorch reflexive space      221
Lorch, E. R.      211 249
Lorch-analytic      275
Losonczi, L.      419 435
M $\ddot{o}$ bius constants      187
M $\ddot{o}$ bius inversion formula      187
M $\ddot{o}$ bius, A. F.      187
Majorants      199-204
Majorants, Cauchy      204 211
Majorants, Lindel $\ddot{o}$ f      204 211
Majorants, series      210
Mapping      14
Mapping, bounded      57 165 305-310
Mapping, cell-intern      433
Mapping, contraction      165-169
Mapping, contractive      173-175
Mapping, injective, (= one-one)      15 58 165
Mapping, intern      427 430
Mapping, into      14
Mapping, inverse      14 58 165 322-325
Mapping, onto (= surjective)      15 58 165
Martin, R. S.      264
Mass      468
Matrix      16-27
Matrix, characteristic equation      29 35
Matrix, diagonal      28 47
Matrix, divisor of zero      25
Matrix, hermitian      24
Matrix, idempotent      24
Matrix, infinite      184-186
Matrix, inverse      21
Matrix, Jacobian      194
Matrix, Kolmogorov      329
Matrix, minimal equation      35 41
Matrix, nilpotent      25
Matrix, norms of      25 41
Matrix, nullity      17
Matrix, positive      198
Matrix, rank      17
Matrix, regular, singular      17
Matrix, similar      23
Matrix, spectrum      29

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