Linear Maps of Holomorphic Functions on Commutative Algebras

Author

Ralph W. Wilkerson, Missouri University of Science and TechnologyFollow

Abstract

Generalized Function Theory on Finite Dimensional Linear Associative Algebras over the Field of Reals Has Produced Many Forms of Generalized Regularity. of Particular Interest Are the Forms of Regularity Known as S-Regularlty and F-Regularity. It is Well Known that Functions Regular in One Sense Need Not Be Regular in the Other. Here We Prove a Transformation Theorem Which Allows the Formation of F-Regular Functions from ․-Regular Functions. Furthermore, a Classification Theorem is Proved that Determines the Algebras for Which This Transformation Property Holds. © 1982 by Marcel Dekker, Inc.

Recommended Citation

R. W. Wilkerson, "Linear Maps of Holomorphic Functions on Commutative Algebras," Communications in Algebra, vol. 10, no. 2, pp. 121 - 134, Taylor and Francis Group; Taylor and Francis, Jan 1982.

The definitive version is available at https://doi.org/10.1080/00927878208822707

Department(s)

Computer Science

International Standard Serial Number (ISSN)

1532-4125; 0092-7872

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 1982