Herglotz representation for operator-valued function on a set associated with test functions

Autor:	Bhowmik, Mainak, Kumar, Poornendu
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables 47A48 47A56 32A38
Druh dokumentu:	Working Paper
Popis:	The Herglotz representation theorem for holomorphic functions with non-negative real part is a fundamental result in the theory of holomorphic functions. In this paper, we reinterpret the Herglotz representation in the context of modern techniques, specifically realization formula. This reinterpretation is then extended to operator-valued functions on arbitrary sets, in association with a collection of test functions. Comment: To appear in Proc. Amer. Math. Soc. arXiv admin note: text overlap with arXiv:2311.15568
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.14455 Zobrazit plný text záznamu View this record from Arxiv