Extensions of positive definite functions. Applications and their harmonic analysis

DOI10.1007/978-3-319-39780-1zbMath1355.43001arXiv1507.02547OpenAlexW2477275170MaRDI QIDQ299760

Steen Pedersen, Feng Tian, Palle E. T. Jorgensen

Publication date: 22 June 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02547

zbMATH Keywords

Lie groupsharmonic analysisspectral theoryreproducing kernel Hilbert spacepositive definite functionlocally compact groupsextensions of functionsMercer operators

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory (60-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis (43-01)

Related Items (10)

Positive-definiteness and integral representations for special functions ⋮ Reflection positivity on real intervals ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Stochastics and dynamics of fractals ⋮ Metric duality between positive definite kernels and boundary processes ⋮ The measure transition problem for meromorphic polar functions ⋮ Positive definiteness of piecewise-linear function 2 ⋮ Realizations and factorizations of positive definite kernels

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