与列别杰夫-斯卡尔斯卡娅变换有关的无穷阶积分微分算子

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-03-15 DOI:10.1007/s11868-024-00596-0

Ajay K. Gupt, Akhilesh Prasad

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引用次数: 0

摘要

本文介绍了与列别杰夫-斯卡尔斯卡娅变换有关的无穷阶积分微分算子。我们得到了该算子的一些特征。此外，我们建立了一类无穷阶积分微分算子在 \( L^2({\mathbb {R}}_{+}; \, dx)\)上单元化的必要条件和充分条件。最后还研究了一些相关的整微分方程类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The infinite-order integro-differential operator related to the Lebedev–Skalskaya transform

In this article, we introduce infinite-order integro-differential operator related to Lebedev–Skalskaya transform. Some characteristics of this operator are obtained. Furthermore, we establish the necessary and sufficient conditions for a class of infinite-order integro-differential operators to be unitary on \( L^2({\mathbb {R}}_{+}; \, dx)\). Some classes of related integro-differential equations are also studied at the end.

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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.