On the extension of positive definite kernels to topological algebras

Daniel Alpay; Ismael L. Paiva

doi:10.1063/5.0007301

On the extension of positive definite kernels to topological algebras

Daniel Alpay, Ismael L. Paiva

Chapman University

Research output: Contribution to journal › Article › peer-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 language	English
Article number	063507
Journal	Journal of Mathematical Physics
Volume	61
Issue number	6
DOIs	https://doi.org/10.1063/5.0007301
State	Published - 1 Jun 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Author(s).

Funding

Alpay thanks the Foster G. and Mary McGraw Professorship in Mathematical Sciences, which supported this research. Ismael L. Paiva acknowledges financial support from the Science without Borders Program (CNPq/Brazil, Fund No. 234347/2014-7).

Funders	Funder number
CNPq/Brazil	234347/2014-7
Foster G. and Mary McGraw Professorship in Mathematical Sciences

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10.1063/5.0007301

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On the extension of positive definite kernels to topological algebras

Abstract

Bibliographical note

Funding

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