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Interaction Between Functional Analysis, Harmonic Analysis, and Probability

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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.
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Overview

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.
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Product Details

Table of Contents

Preface
Contributors
1 Local Quasinilpotence, Cycles, and Invariant Subspaces 1
2 A Rearrangement Invariant Space Isometric to L[subscript p] Coincides with L[subscript p] 13
3 Invariant Mean Value and Harmonicity in Cartan and Siegel Domains 19
4 Generalized de Leeuw Theorems and Extension Theorems for Weak Type Multipliers 41
5 Transference Couples and Their Applications to Convolution Operators and Maximal Operators 69
6 Generalized Radial Limits Associated with Representing Measures 85
7 Functional Calculus for Hilbert Space Operators with Bounded Imaginary Powers 97
8 Machado's Theorem and the Abstract Bishop Decomposition for Compact Convex Sets 105
9 On a Localization of the UKK Property and the Fixed Point Property in L[actual symbol not reproducible] 111
10 Commutators and Duality in Interpolation Theory 125
11 Complex Interpolation and Complementably Minimal Spaces 135
12 Interpolation of Some Cones of Function Spaces 145
13 Points of Rapid Oscillation for the Brownian Sheet via Fourier-Schauder Series Representation 153
14 Recapturing Some Approximate Antigradients 163
15 On the Fourier Type of Banach Lattices 169
16 On Separating Ideals of Commutative Banach Algebras 181
17 Embedding Theorem on Spaces of Homogenous Type 187
18 On Weak Compactness in Vector-Valued [actual symbol not reproducible] 199
19 Two Examples of Randomly Stopped Sums of Independent Variables 213
20 Topics in Almost Sure Approximation of Operators in L[subscript 2]-Spaces 219
21 Uniformly Normal Structure of Orlicz-Lorentz Spaces 229
22 On Rearranges Orthogonal Systems as Quasibases in Weighted L[superscript p] Spaces 239
23 Fixed Points of Holomorphic Mappings and Semigroups in Banach Spaces: Regularity and Uniqueness 249
24 Quantum Probabilities and Non-Commutative Fourier Transform on the Heisenberg Group 255
25 Angelic Spaces with the Ramsey Property 267
26 Positive Definite Functions, Stable Measures, and Isometries on Banach Spaces 275
27 An Extension of Ehrhard's Theorem 291
28 On Nonstandard Methods in Functional Analysis 301
29 Transferring the Carleson-Hunt Theorem in the Setting of Orlicz Spaces 307
30 Isomorphic Classification of Atomic Weak L[superscript p] Spaces 315
31 Applications of Factorization in the Hardy Spaces of the Polydisk 331
32 Radon Measures on C(X) with the Epi-topology 351
33 The Hardy Operator and Boyd Indices 359
34 Recurrence for Real Lacunary Series 365
35 Random Products in Rings 375
36 The Space of Vector-Valued Weakly Continuous Functions as a Dual Space 387
37 Some Geometric Coefficients in Orlicz Function Spaces 391
38 Commuting Operators in a Group von Neumann Algebra 405
39 Size Estimates for Eigenvectors of Singular Integral Operators with T1 = T*1 = 0 409
40 Boundary Value Problems, Feller Semigroups, and Markov Processes 421
41 A Comparison Theorem in Symmetric Sequence Spaces 441
42 An Elementary Approach to the Daugavet Equation 449
43 The Type of a Factor with Separable Predual is Determined by its Geometry 455
44 Almost Isometric *-Homomorphisms of l[subscript p] Group Algebras 461
Index 467
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