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On the infinite dimensional Laplacian operator

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Publication:2537251
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DOI10.1215/kjm/1250524602zbMath0188.20703OpenAlexW1537562694MaRDI QIDQ2537251

Yasuo Umemura

Publication date: 1965

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250524602


zbMATH Keywords

functional analysis



Related Items (13)

Infinite dimensional Laplacian and spherical harmonics ⋮ Note on the Infinite Dimensional Laplacian Operator ⋮ Unnamed Item ⋮ Parabolic Equations Associated with the Number Operator ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Levy's functional analysis in terms of an infinite dimensional Brownian motion. II ⋮ Transformations on white noise functions associated with second order differential operators of diagonal type ⋮ A partial Laplacian as an infinitesimal generator on the Wasserstein space ⋮ Polynomials and high-dimensional spheres ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Infinite tensor products of Banach spaces I ⋮ On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces ⋮ Rotation-invariant operators on white noise functionals




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