Regular Functions on the Scaled Hypercomplex Numbers

Daniel Alpay; Ilwoo Cho

doi:10.1007/s00020-024-02756-9

Regular Functions on the Scaled Hypercomplex Numbers

Daniel Alpay
, Ilwoo Cho

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we study the regularity of R-differentiable functions on open connected subsets of the scaled hypercomplex numbers Ht_t∈R by studying the kernels of suitable differential operators ∇t_t∈R, up to scales in the real field R.

Original language	English
Article number	9
Journal	Integral Equations and Operator Theory
Volume	96
Issue number	1
DOIs	https://doi.org/10.1007/s00020-024-02756-9
State	Published - 1 Mar 2024
Externally published	Yes

Keywords

47S10
Differential operators
Primary 46S10
Scaled hypercomplex R-algebras
Scaled hypercomplex R-spaces
Scaled hypercomplex rings
Secondary 20G20

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-024-02756-9

Cite this

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AB - In this paper, we study the regularity of R-differentiable functions on open connected subsets of the scaled hypercomplex numbers Htt∈R by studying the kernels of suitable differential operators ∇tt∈R, up to scales in the real field R.

KW - 47S10

KW - Differential operators

KW - Primary 46S10

KW - Scaled hypercomplex R-algebras

KW - Scaled hypercomplex R-spaces

KW - Scaled hypercomplex rings

KW - Secondary 20G20

UR - https://www.scopus.com/pages/publications/85185933346

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DO - 10.1007/s00020-024-02756-9

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JO - Integral Equations and Operator Theory

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IS - 1

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ER -

Regular Functions on the Scaled Hypercomplex Numbers

Abstract

Keywords

ASJC Scopus subject areas

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