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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: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1995Количество страниц: 496Добавлена в каталог: 08.01.2014Операции: Положить на полку |
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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 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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