Characterization of Wave Fronts of Ultradistributions Using Directional Short-Time Fourier Transform

被引:1
作者
Atanasova, Sanja [1 ]
Maksimovic, Snjezana [2 ]
Pilipovic, Stevan [3 ]
机构
[1] Ss Cyril & Methodius Univ, Fac Elect Engn & Informat Technol, Rugjer Boshkovik 18, Skopje 1000, North Macedonia
[2] Univ Banja Luka, Fac Architecture Civil Engn & Geodesy, Stepe Stepanovica 77-3, Banja Luka 78000, Bosnia & Herceg
[3] Univ Novi Sad, Fac Sci & Math, Trg Obradovica 4, Novi Sad 21000, Serbia
关键词
k-directional short-time Fourier transform; ultradistributions; wave front sets; SETS; BANACH; FRECHET;
D O I
10.3390/axioms10040240
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we give a characterization of Sobolev k-directional wave front of order p & ISIN;[1,& INFIN;) of tempered ultradistributions via the directional short-time Fourier transform.
引用
收藏
页数:11
相关论文
共 14 条
[1]   Directional Short-Time Fourier Transform of Ultradistributions [J].
Atanasova, Sanja ;
Maksimovic, Snjezana ;
Pilipovic, Stevan .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (05) :3069-3087
[2]   Directional Time-Frequency Analysis and Directional Regularity [J].
Atanasova, Sanja ;
Pilipovic, Stevan ;
Saneva, Katerina .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (05) :2075-2090
[3]  
Carmichael R.D., 2007, Boundary Values and Convolution in Ultradistribution Spaces
[4]   Global wave-front sets of Banach, Frechet and modulation space types, and pseudo-differential operators [J].
Coriasco, Sandro ;
Johansson, Karoline ;
Toft, Joachim .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (08) :3228-3258
[5]   Local wave-front sets of Banach and Frechet types, and pseudo-differential operators [J].
Coriasco, Sandro ;
Johansson, Karoline ;
Toft, Joachim .
MONATSHEFTE FUR MATHEMATIK, 2013, 169 (3-4) :285-316
[6]   Wave Front Sets with Respect to Banach Spaces of Ultradistributions. Characterisation via the Short-Time Fourier Transform [J].
Dimovski, Pavel ;
Prangoski, Bojan .
FILOMAT, 2019, 33 (18) :5829-5836
[7]   Directional short-time Fourier transform [J].
Giv, Hossein Hosseini .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (01) :100-107
[8]   Gabor frames and directional time-frequency analysis [J].
Grafakos, Loukas ;
Sansing, Christopher .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2008, 25 (01) :47-67
[9]  
Hormander L., 1990, ANAL LINEAR PARTIAL
[10]  
HORMANDER L, 1997, LECT NONLINEAR HYPER