A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator

Round 1

Reviewer 1 Report

The paper presents the existence of modified generalized analytic Feynman integral and establish some relationships for the modified generalized analytic Feynman integrals. Although the contribution is unclear and the most parts of the paper have already published in other works but I think there is enough contribution and it has been managed in a good way and it could be considered for publication. Therefore, I recommend this paper for publication.

Author Response

I would appreciate it very much to receive positive report.

I have revised the manuscript as the reviewer's comment. Please see the Introduction of the manuscript.

 

Reviewer 2 Report

In this paper the author has studied "A modified generalized analytic Feynman integral associated with the bounded linear operator". My comments are appended below point-wise:

1. The underlying concept studied in this paper is outstanding and this paper can be treated as a path breaking work in the coming years. 

2. Results computed in this paper are correct and presented in a very clear fashion. Findings are stated very clearly.

3. Reference list is complete.

Based on the above mentioned facts I strongly recommend publication of this paper in its present form in Axioms.

Author Response

I would appreciate it very much to receive positive report.

 

Reviewer 3 Report

The manuscript is on the "Modified generalized analytic Feynman integral associated with the bounded linear operator".  The author tried to define a extension on Feynman integral on abstract Wiener space. He also establishes the Cameron-Storvick theorems for the defined extension integral and for examples of the the application, he studied the Multiplication operator and  Sequential operator on two suitable spaces.

The manuscript is well written, interesting subject, appealing theorems and results, with correct and logical proofs.

I can strongly recommend the manuscript for publication.

Author Response

I would appreciate it very much to receive positive report.