Integral Representation of Functions and Distributions Positive Definite Relative to the Orthogonal Group

DOI10.2307/1996085zbMath0256.42022OpenAlexW4230878796MaRDI QIDQ5671129

A. Edward Nussbaum

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996085

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (8)

On integral representation of the continuous \(O(n)\)-positive definite functions ⋮ Positive definite functions on the Heisenberg group ⋮ Extension of positive definite functions ⋮ Extensions of positive definite integral kernels on the Heisenberg group ⋮ On Functions Positive Definite Relative to the Orthogonal Group and the Representation of Functions as Hankel-Stieltjes Transforms ⋮ Integral Representations of Positive Definite Matrix-Valued Distributions on Cylinders ⋮ Extension of positive definite functions and representation of functions in terms of spherical functions in symmetric spaces of noncompact type of rank 1 ⋮ Semigroups of measures in non-commutative harmonic analysis

Cites Work

• On the extensions of positive definite functions
• An extension theorem for positive-definite functions
• Radial exponentially convex functions
• The extension problem for positive-definite functions
• On rings of operators. Reduction theory
• Lectures on Fourier Integrals. (AM-42)
• Produits tensoriels topologiques et espaces nucléaires
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