SPECTRAL PROPERTIES OF SELF-ADJOINT PARTIAL INTEGRAL OPERATORS WITH KERNELS BELONGING TO A SPECIFIC FUNCTION CLASS

Authors

  • Hatamov Ma'ruf XXX Termiz davlat universiteti Fizika-matematika fakulteti Matematik analiz kafedrasi
  • Turopova Sohiba Djumanazarovna Termiz davlat universiteti Fizika-matematika fakulteti Matematik analiz kafedras

Keywords:

Partial integral operator, self-adjoint operator, Hilbert space, compact operator, spectrum, eigenvalue, kernel function, spectral decomposition, functional analysis.

Abstract

The study of partial integral operators has become one of the most significant directions in modern functional analysis due to its broad applications in mathematical physics, engineering, quantum mechanics, signal processing, and boundary value problems. Self-adjoint partial integral operators are of particular interest because their spectral characteristics possess remarkable mathematical properties that facilitate theoretical investigations and practical computations.

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Published

2026-06-09

Issue

Vol. 49 (2026)

Section

Articles

License

Creative Commons License

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

How to Cite

SPECTRAL PROPERTIES OF SELF-ADJOINT PARTIAL INTEGRAL OPERATORS WITH KERNELS BELONGING TO A SPECIFIC FUNCTION CLASS. (2026). American Journal of Technology and Applied Sciences, 49, 179-181. https://americanjournal.org/index.php/ajtas/article/view/3745