Positive definite kernels on the complex Hilbert sphere

DOI10.1007/BF01318903zbMath0572.43004OpenAlexW2085854214MaRDI QIDQ1062234

Jens Peter Reus Christensen, Paul Ressel

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173180

zbMATH Keywords

complex Hilbert spacepositive definite kernelBauer simplexunique series representation

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

Schoenberg's theorem for real and complex Hilbert spheres revisited ⋮ On conditionally positive definite dot product kernels ⋮ A complex approach to strict positive definiteness on spheres ⋮ Characterization of strict positive definiteness on products of complex spheres

Cites Work

• Unnamed Item
• Positive-definite functions on involution semigroups
• Positive definite functions on spheres
• Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg

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