An Analytic Operator-Valued Generalized Feynman Integral on Function Space

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Abstract

In this paper, we use a generalized Brownian motion process to define an analytic operator-valued Feynman integral. We then establish the existence of the analytic operator-valued generalized Feynman integral. We next investigate a stability theorem for the analytic operator-valued generalized Feynman integral.

Keywords

Analytic operator-valued function space integral Analytic operator-valued generalized Feynman integral Stability theorem 

Mathematics Subject Classification

Primary 60J25 28C20 

Notes

Acknowledgements

The authors thank the referees for their helpful suggestions which led to the present version of this paper.

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2017

Authors and Affiliations

  1. 1.Department of MathematicsDankook UniversityCheonanKorea

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