On Laplace transform on semitattices
A.R. Mirotin
TL;DR
This paper establishes inverse formulas for Laplace transforms on semilattices of open-and-compact sets, addressing a question posed by Lyubich in both discrete and non-discrete contexts.
Contribution
It provides new inverse formulas for Laplace transforms on semilattices of sets, extending understanding in both discrete and non-discrete cases.
Findings
Derived inverse formulas for Laplace transform on semilattices.
Addressed open problem posed by Lyubich.
Extended results to both discrete and non-discrete cases.
Abstract
The aim of this work is to prove inverse formulas for Laplace transform on semilattices of open-and-compact sets in a both discrete and non-discrete cases. These are partial answers to a question posed by Yu.~I.~Lyubich.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · advanced mathematical theories · Mathematical Analysis and Transform Methods