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

ISBN 10: 082479611X / ISBN 13: 9780824796112

Editore: CRC Press, 1995

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Codice articolo ERICA758082479611X5

Dati bibliografici

• Titolo: Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)
• Editore: CRC Press
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 082479611X
• ISBN 13: 9780824796112
• Rilegatura: Paperback
• Condizione: Like New
• Tipo di libro: book

Descrizione articolo

Riassunto

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.

Contenuti

Local quasinilpotence, cycles and invariant subspaces; invariant mean value and harmonicity in Cartan and Siegel domains; generalized de Leeuw theorems and extension theorems for weak type multipliers; transference couples and their applications to convolution operators and maximal operators; generalized radial limits associated with representing measures; functional calculus for Hilbert space operators with bounded imaginary powers; Machado's theorem and the abstract Bicho decomposition for compact convex sets; commutators and duality in interpolation theory; complex interpolation and complementably minimal spaces; interpolation of some cones of function spaces; points of rapid oscillation for the Brownian sheet via Fourier-Schauder series representation; recapturing some approximate antigradients; on the Fourier type of Banach lattices; on separating ideals of communicative Banach algebras; embedding theorem on spaces of homogeneous type; two examples of randomly stopped sums of independent variables; topics in almost sure approximation of operators in L2-spaces; uniformly normal structure of Orlicz-Lorentz spaces; fixed points of holomorphic mappings and semigroups in Banach spaces - regularity and uniqueness; quantum probabilities and non-commutative Fourier transform on the Heisenberg group; angelic spaces with the Ramsey property; positive definite functions, stable measures and isometries on Banach spaces; an extension of Ehrhard's theorem; on nonstandard methods in functional analysis; transferring the Carleson-Hunt theorem in the setting of Orlicz spaces.