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New results on stability properties for the Feynman integral via additive functionals
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Abstract
It is known that the analytic operator-valued Feynman integralexists for some ``potentials'' which are so singular that theymust be given by measures rather than by functions. Correspondingstability results involving monotonicity assumptions have beenestablished by the author and others. Here in our main theorem weprove further stability theorem without monotonicity requirements.
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 제3호Operator-valued function space integrals via conditional integrals on an analogue Wiener space II조동현대한수학회 · 대한수학회보2016 · 제53권 제3호SERIES EXPANSIONS OF THE ANALYTIC FEYNMAN INTEGRAL FOR THE FOURIER-TYPE FUNCTIONAL이일용, 장승준, 정현수한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Existence theorems and evaluation formulas for sequential Yeh-Feynman integrals김병수, 김영희강원경기수학회 · 한국수학논문집2024 · 제32권 제4호Fourier-Feynman transforms for functionals in a generalized Fresnel class유일, 김병수대한수학회 · 대한수학회논문집2007 · 제22권 제1호
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