On some categories and functors in the theory of quaternionic Bergman spaces

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5 Citations (Scopus)

Abstract

Basic facts are presented about the theory of quaternionic Bergman spaces with special emphasis on what is happening with them under conformal transformations of the domains. Constructing a series of categories of quaternion-valued functions as well as functors acting between them we show that the arising spaces and operators have conformally covariant or invariant characters in terms of the theory of categories. © 2009 Birkhäuser Verlag Basel/Switzerland.
Original languageAmerican English
Pages (from-to)325-338
Number of pages291
JournalAdvances in Applied Clifford Algebras
DOIs
StatePublished - 8 Apr 2009

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Bergman Space
Functor
Conformal Transformation
Quaternion
Invariant
Series
Operator
Character

Cite this

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On some categories and functors in the theory of quaternionic Bergman spaces. / González-Cervantes, J. O.; Luna-Elizarrarás, M. E.; Shapiro, M.

In: Advances in Applied Clifford Algebras, 08.04.2009, p. 325-338.

Research output: Contribution to journalArticleResearchpeer-review

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