Directional short-time fractional Fourier analysis of quasiasymptotic properties of distributions

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2026-07-29 DOI:10.1007/s10476-026-00168-y

A. Ferizi, K. Hadzi-Velkova Saneva

引用次数: 0

Abstract

In this paper, we establish several Abelian- and Tauberian-type results that characterize the quasiasymptotic behavior of Schwartz tempered distributions through the asymptotic properties of their directional short-time fractional Fourier transform.

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分布拟渐近性质的定向短时分数傅里叶分析

本文利用Schwartz调质分布的定向短时分数阶傅里叶变换的渐近性质，建立了几个Abelian型和tauberian型的结果，这些结果刻画了Schwartz调质分布的拟渐近性质。

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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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.