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Non-unital semigroup of integral operators on Fock spaces

Tesfa Mengestie

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Source: Crossref

Published: Sep 15, 2026

DOI: 10.33205/cma.1895745

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Source abstract

The family of Volterra-type integral operators on Fock spaces do not contain the identity operator and thus fail to form a standard one-parameter semigroup of operators. By generalizing the classical definition, we introduce the notion of non-unital semigroups and characterize exactly which operators on these spaces generate such families. Additionally, we compute their infinitesimal generators

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Non-unital semigroup of integral operators on Fock spaces — Mathematical Frontier Network