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Kalton N., Saab E. — Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)
Kalton N., Saab E. — Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)

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Название: Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)

Авторы: Kalton N., Saab E.

Аннотация:

Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 496

Добавлена в каталог: 08.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abelian, compact group      168
Algebra, C*      455
Algebra, Lie      20
Algebra, von Neumann      405 455
Almost surely      219
AM-space      15
Amenable group      43
Analysis, Boolean-valued      301
Analysis, infinitesimal      301
Analytic Radon — Nikodym * property      200
Angelic      267
Anti-Wick quantitization      262
Antiderivative      163
Antigradient      164
Antigradient, approximate      163 164
antisymmetric      105
Approximate antigradient      163 164
atom      334
Atom, holomorphic      334
Attractivity      249
Banach algebra, commutative unital      181
Band      13
Basis, Schauder      2 239
Berezin operator      20
Berezin quantitization      262
Besov space      187
Bi-upper half plane      337
Bidisc      336
Block subspace      136
Bochner integral      75
Bohr compactification      376
Boolean-valued analysis      301
Boolean-valued integral      302
Boundary limit      86 93
Boundary, extreme      105
Boundary, Silov*      332
Boyd index      359
Brownian sheet      153
C* algebra      455
Calderon Product      146
Calderon type reproducing formula      190
Calderon — Zygmund operator      409
Cantor's ternery set      166
Carlson — Hunt theorem      307
Cartan decomposition      22
Cartan domain      19 28
Cauchy — Schwartz inequality      51
Cayley transform      20 28
Center      105
Chang — Fefferman duality      338
Chebyshev radius      392
Classical mechanics      255
Coefficient, Maluta's      391
Coefficient, normal structure      391
Commutative unital Banach algebra      181
Commutator      125
Compact operator      8
Compact, abelian group      168
Compactification, Bohr      376
Compactification, Feller      91
Compactification, Martin type      88
Compactness, weak      114 199
Compatible      125
Compatible, couple      170
Complementably minimal      135
Complementary function      229
complete      239
Completion, profinite      376
Complex interpolation      125 135 170
Concave, q      174
Concave, uniformly      112
Condition $D_{2}$      230
Condition, Ventcel' boundary      423
Conditionally sequencially compact      20
Cone      145
Constant, Planck      259
Convex, p      174
Convolution operator      48 69
Cotype, Rademacher      171
Countably generated      316
Couple      125
Couple, compatible      170
CYCLE      3
Cyclic banach space      303
Daugavet equation      449
De Leeuw theorem      41
Decomposition Cartan      22
Decomposition Iwasawa      22
Decreasing rearrangement      229
Descent      302
Differentiable, Frechet      457
Differentiable, Gateaux      457
Discretization      301
Distortion      135 141
Distribution function      43 229
Distributionally controlled      43
Domain, Cartan      19 28
Domain, Lipshitz      91
Domain, Siegel      20 28 332
Domain, symmetric      20
Domain, symmetric hermitian      21
Dual      200
Dual group      42
Duality, Chang — Fefferman      338
Dunford — Pettis property      299
Ehrhard's theorem      291
Embedding      187
Epitopology      351
Equation, Daugavet      449
Equation, Hamilton      260
Equation, heat      85 90 93
Equation, Heisenberg      260
Equation, Laplace      90 93
Essentially shifts      2
Estimate lower q      175
Estimate upper p      175 316
Exponential function      22 28
Extreme point class      456
Extreme, boundary      105
Extreme, point      105
Face      105
Factor      455
Feller, compactification      91
Feller, semigroup      423
Filter      87
Fixed point property      114
Fock space      262
Fourier type      168
Fourier — Schauder representation      153
Frechet differentiable      457
Function, complementary      229
Function, distribution      43 229
Function, exponential      22 28
Function, Haar      240
Function, harmonic      85 91
Function, modified weight      316
Function, N      391
Function, positive definite      275
Function, radial      150
Function, Schauder      154
Function, spherical      22 28
Function, weight      229
Function, Young's      229
Functional calculus      97
Gateaux differentiable      457
Gaussian measure      291
Gaussian symmetrization      291
Generalized solution      304
Generator, infinitesimal      426
Gradient      164
Group, amenable      43
Group, compact abelian      168
Group, dual      42
Group, Heisenberg      256
Group, Lie      20 256
Growth type      98
Haar function      240
Haar measure      42 256 302 376
Haar system      153 240
Hamilton equation      260
Hankel operator      331
Hardy operator      359
Hardy space      201 331
Harmonic function      85 91
Harmonic space      85
Harmonic system      88
Heat equation      85 90 93
Heisenberg equation      260
Heisenberg group      256
Hereditarily indecomposable      136
Hilbert — Schmidt operator      8
Hoelder space      430
Holomorphic atom      334
Holomorphic mapping      249
Homogeneous type      188
Hyperstonean space      387
Ideal, separating      181
Imaginary powers      97
Index, Boyd      359
Inequality, Cauchy — Schwartz      51
Inequality, Khintchine      50 51 172
Infinite projection      456
Infinitesimal Analysis      301
Infinitesimal generator      426
Infinitesimal solution      304
Infinitesimal subdifferential      304
Integral representation      89 100
Integral, Bochner      75
Integral, Boolean-valued      302
Interpolation      146
Interpolation, complex      125 135 170
Interpolation, Marcinkiewicz      145
Invariant mean-value property      21
Invariant subspace      1 7
Isometiy      275
Isotropic measure      275
Iwasawa decomposition      22
J-method      126
Jacobson radical      181
Jacobson topology      262
JB*-triple      29
K-method      126
Kadec-Klee property      111
Kadec-Klee uniformly      112
KB-space      15
Khintchine inequality      50 51 172
Lacunary series      365
Laplace equation      90 93
Lie algebra      20
Lie group      20 256
Lift, minimum norm      201
Lipshitz domain      91
Local maximal principle      105
Location homogeneous      153
Loeb measure      302
Lorentz space      41 111
Lower q estimate      175
Luxemburg norm      391
Maharam operator      302
Maluta's coefficient      391
Mapping, holomorphic      249
Marcinkiewicz interpolation      145
Martin type compactification      88
Maximal ergodic theorem      42
Measure preserving transformation      230
Measure, Gaussian      291
Measure, Haar      42 256 302 376
Measure, isotropic      275
Measure, Loeb      302
Measure, Radon      302 351
Measure, stable      275
Measure, total      24
Mechanics, classical      255
Mechanics, quantum      255
Method, non-standard      301
Method, real      148
Minimal projection      456
Minimum norm lift      201
Mixing      303
Modified weight function      316
Molecule      410
Monotone, strictly      234
Monotone, uniformly      234
Multiplier      70
Multipliers, strong type      41
Multipliers, weak type      41
N function      391
Nilradical      181
Non-expansive      114
Non-standard method      301
Norm, Luxemburg      391
Norm, spectral      29
Normal structure      231
Normal structure, coefficient      391
Normal structure, uniformly      231
Null point      249
Number, singular      29
Operator maximal      69
Operator, Berezin      20
Operator, Calderon — Zygmund      409
Operator, compact      8
Operator, convolution      48 69
Operator, Hankel      331
Operator, Hardy      359
Operator, Hilbert — Schmidt      8
Operator, Maharam      302
Operator, pseudodifferential      257
Operator, singular integral      42
Operator, symmetrically non-negative      98
Operator, Toeplitz      331
Operator, type q      97
Operator, Waldenfels      422
Order isometric      13
Orlicz space      307 391
Orlicz — Lorentz space      230
Orthonormal system      240
p convex      174
Path      5
Phase space      259
Planck constant      259
Point, extreme      105
Point, null      249
Points, rapid      153 156
Polydisk      331
Positive definite function      275
Positivity preserving      77
Powers, imaginary      97
Principle, local maximal      105
Pro finite completion      376
Problem, Schoenberg's      275
Product, Calderon      146
Projection, infinite      456
Projection, minimal      456
Projection, Szegoe      332
Property, analytic Radon — Nikodym*      200
Property, Dunford — Pettis      299
Property, fixed point      114
Property, invariant mean-value      21
Property, Kadec-Klee      111
Property, Ramsey      267
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