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Peer-Review Record

Functions of Minimal Norm with the Given Set of Fourier Coefficients

Mathematics 2019, 7(7), 651; https://doi.org/10.3390/math7070651
by Pyotr Ivanshin
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Mathematics 2019, 7(7), 651; https://doi.org/10.3390/math7070651
Submission received: 17 June 2019 / Revised: 13 July 2019 / Accepted: 19 July 2019 / Published: 20 July 2019

Round 1

Reviewer 1 Report

Please consider revise the text according with the annotations included in the annexed pdf.

Comments for author File: Comments.pdf

Author Response

The reviewer comments were given as the pdf-remarks in the file. I tried my best to make all the required changes.

Reviewer 2 Report

The manuscript has elements that are of interest for the reader.


The proofs of the Theorems presented are not very difficult to be proved in my opinion.


Hence, I recommend to the author


- To focus on the importance and usefulness of the results by adding additional comments in the introduction.


- Correct some typos in the presentation (example there are some unnecessary gaps in the proof of Theorem 1 in the first sentence).


- Update the reference list so that the reader has a better insight of what has been done


- Include a section with conclusions



Author Response

-To focus on the importance and usefulness of the results by adding additional comments in the introduction.


I have updated the introduction with certain sources and additional description of the results in the field.


- Correct some typos in the presentation (example there are some unnecessary gaps in the proof of Theorem 1 in the first sentence).


I have tried to correct all the typos.


- Update the reference list so that the reader has a better insight of what has been done


I have updated the introduction with certain sources and additional description of the results in the field.


- Include a section with conclusions


I have added the required section.


Round 2

Reviewer 2 Report

The article has been updated based on the reviewers comments and can be published in the present form.

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