Multidimensional Widder–Arendt Theorem in Locally Convex Spaces

In this research article, we formulate and prove the multidimensional Widder–Arendt theorem and the integrated form of the multidimensional Widder–Arendt theorem for functions with values in sequentially complete locally convex spaces. Established results seem to be new even for scalar-valued functions.

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Publication Details

Journal
Axioms
Published
2026-01-05
DOI
https://doi.org/10.3390/axioms15010039
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Multidimensional Widder–Arendt Theorem in Locally Convex Spaces

M Zotovic Kostic
Axioms
Optimization and Variational Analysis
article

Multidimensional Widder–Arendt Theorem in Locally Convex Spaces

M Zotovic Kostic
article en

Abstract

In this research article, we formulate and prove the multidimensional Widder–Arendt theorem and the integrated form of the multidimensional Widder–Arendt theorem for functions with values in sequentially complete locally convex spaces. Established results seem to be new even for scalar-valued functions.

AxiomsVol. 15(1)
University of Novi Sad (RS)
Openalex Percentile: Top 95%
Optimization and Variational Analysis
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Multidimensional Widder–Arendt Theorem in Locally Convex Spaces — M Zotovic Kostic · Axioms (2026) | TGRS Research Map | TGRS