# A Banach algebra with its applications over paths of bounded variation

@article{Cho2018ABA, title={A Banach algebra with its applications over paths of bounded variation}, author={Dong Hyun Cho}, journal={Advances in Operator Theory}, year={2018} }

Let C[0, T ] denote the space of continuous real-valued functions on [0, T ]. In this paper we introduce two Banach algebras: one of them is defined on C[0, T ] and the other is a space of equivalence classes of measures over paths of bounded variation on [0, T ]. We establish an isometric isomorphism between them and evaluate analytic Feynman integrals of the functions in the Banach algebras, which play significant roles in the Feynman integration theories and quantum mechanics.

## One Citation

### A Banach algebra of series of functions over paths

- Mathematics
- 2019

Let $C[0,T]$ denote the space of continuous real-valued functions on $[0,T]$. On the space $C[0,T]$, we introduce a Banach algebra of series of functions which are generalized Fourier-Stieltjes…

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