On the extension of positive definite kernels to topological algebras

Daniel Alpay, Ismael L. Paiva

Research output: Contribution to journalArticlepeer-review

Abstract

We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras and describe their associated reproducing kernel spaces. The case of entire functions is of special interest, and we give a precise meaning to some power series expansions of analytic functions that appears in many algebras.

Original languageEnglish
Article number063507
JournalJournal of Mathematical Physics
Volume61
Issue number6
DOIs
StatePublished - 1 Jun 2020
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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