On the Wiener semigroup and harmonic analysis on the infinite dimensional torus

zbMath0657.35129MaRDI QIDQ1110746

Thomas J. S. Taylor

Publication date: 1987

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Wiener measurepartial differential equationsconvolution semigroupinfinite-dimensional analysisWiener measuresanalysis on infinite-dimensional spacesdifferentiability of Wiener measureself-adjoint contraction semigroup

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Continuity and singularity of induced measures (60G30) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces ⋮ Summation of Fourier series on the infinite-dimensional torus ⋮ Certain approximation problems for functions on the infinite-dimensional torus: Analogs of the Jackson theorem

This page was built for publication: On the Wiener semigroup and harmonic analysis on the infinite dimensional torus