On the Existence of Solutions of a Convolution-Type Equation in a Half-Strip

Authors

DOI:

https://doi.org/10.31652/3041-1955-2025-02-02-03

Keywords:

convolution equation, Hardy space, analytic function, signal theory

Abstract

A convolution-type equation for Hardy-type spaces in a half-strip domain of the complex plane is considered. The existence of solutions to this equation is studied when the generating function is defined by two poles. The results are obtained by direct methods. Differences in the behavior of solutions depending on the relative positions of the poles are shown. The developed method can be applied to the analysis of other functional spaces and in information theory for signal identification.

Author Biographies

  • Khrystyna Dumiak, Drohobych Ivan Franko State Pedagogical University

    Khrystyna Dumiak, Master’s Student, Department of Mathematics and Economics, Drohobych Ivan Franko State Pedagogical University, 24 Ivan Franko Street, Drohobych, 82100, Ukraine

  • Volodymyr Dilnyi, Lviv Polytechnic National University

    Volodymyr Dilnyi, Doctor of Science in Physіcs and Mathematics, Professor, Department of Higher Mathematics, Lviv Polytechnic National University, 12 Stepan Bandera Street, Lviv, 79000, Ukraine

References

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Дільний В.М. Асимптотичні та апроксимаційні властивості функцій експоненціального типу та їх застосування. Дисертація на здоб. ... докт. ф.-м. н, Львів, 2015. 322 с.

Nikolskii N. Operators, Functions, and Systems: An Easy Reading. Mathematical Surveys and Monographs. 2002. DOI: https://doi.org/10.1090/surv/093

Lectures on Analytic Function Spaces and their Applications. 2023. DOI: https://doi.org/10.1007/978-3-031-33572-3

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Published

2026-05-06

Issue

Vol. 2 No. 2 (2025)

Section

Actual problems of mathematics

License

Copyright (c) 2025 Христина Думʼяк, Володимир Дільний

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On the Existence of Solutions of a Convolution-Type Equation in a Half-Strip. (2026). Mathematics, Informatics, Physics: Science and Education, 2(2), 198–205. https://doi.org/10.31652/3041-1955-2025-02-02-03