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A generalized sequential operator-valued function space integral
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Abstract
In this paper, we define a generalized sequentialopera-tor-valued function space integral by using a generalizedWiener measure. It is anextention of the sequential operator-valued function space integral introducedby Cameron and Storvick. We prove the existence of this integral for functionalswhich involve some product Borel measures.
관련 논문AI추천
Convergence theorems in measures for the operator-valued Feynman integralByung Moo Ahn대한수학회 · 대한수학회논문집2002 · 제17권 제1호A Fubini theorem for generalized analytic Feynman integrals and Fourier-Feynman transforms on function space장승준, Il Yong Lee대한수학회 · 대한수학회보2003 · 제40권 제3호The operational calculus for a measure-valued Dyson series류근식대한수학회 · 대한수학회지2006 · 제43권 제4호Operator-valued function space integrals via conditional integrals on an analogue Wiener space II조동현대한수학회 · 대한수학회보2016 · 제53권 제3호Existence theorems and evaluation formulas for sequential Yeh-Feynman integrals김병수, 김영희강원경기수학회 · 한국수학논문집2024 · 제32권 제4호A Convergence Theorem for Feynman's Operational Calculus : The case ofTime dependent noncommuting operators이춘호, Byung Moo Ahn대한수학회 · 대한수학회논문집2004 · 제19권 제4호
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