Extension of positive definite functions and representation of functions in terms of spherical functions in symmetric spaces of noncompact type of rank 1

DOI10.1007/BF01432689zbMath0286.43011MaRDI QIDQ1846071

A. Edward Nussbaum

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162704

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items

Von Neumann indices and classes of positive definite functions ⋮ Extensions of positive definite integral kernels on the Heisenberg group

Cites Work

• Differential operators on homogeneous spaces
• An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
• The bounded spherical functions on symmetric spaces
• An extension theorem for positive-definite functions
• Homogeneous Sphere Bundles and the Isotropic Riemann Manifolds
• Spherical Functions on a Semisimple Lie Group, I
• On the existence and irreducibility of certain series of representations
• Integral Representation of Functions and Distributions Positive Definite Relative to the Orthogonal Group
• On Functions Positive Definite Relative to the Orthogonal Group and the Representation of Functions as Hankel-Stieltjes Transforms
• Representations of a Semisimple Lie Group on a Banach Space. I
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