Directional short-time Fourier transform of distributions

被引：14

作者：

Saneva, Katerina Hadzi-Velkova ^{[1
]}

Atanasova, Sanja ^{[1
]}

机构：

[1] Ss Cyril & Methodius Univ, Fac Elect Engn & Informat Technol, Skopje, Macedonia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

directional short-time Fourier transform; Radon transform; short-time Fourier transform; distributions; RADON-TRANSFORM;

D O I：

10.1186/s13660-016-1065-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the directional short-time Fourier transform (DSTFT) that was introduced and investigated in (Giv in J. Math. Anal. Appl. 399:100-107, 2013). We analyze the DSTFT and its transpose on test function spaces S(R-n) and S(Y-2n), respectively, and prove the continuity theorems on these spaces. Then the obtained results are used to extend the DSTFT to spaces of distributions.

引用

页数：10

共 13 条

[1]

[Anonymous], 2001, Foundations of Time-Frequency Analysis, DOI DOI 10.1007/978-1-4612-0003-1

[2]

Candes E. J., 1998, THESIS

[3] Harmonic analysis of neural networks [J].