Some Remarks Concerning the Fourier Transform in the Space L2(R)

被引:7
作者
Abilov, V. A. [1 ]
Abilova, F. V. [2 ]
Kerimov, M. K. [3 ]
机构
[1] Dagestan State Univ, Makhachkala 367025, Russia
[2] Dagestan State Tech Univ, Makhachkala 367015, Russia
[3] Russian Acad Sci, Ctr Comp, Moscow 119333, Russia
基金
俄罗斯基础研究基金会;
关键词
integral Fourier transform; generalized derivatives; Steklov function;
D O I
10.1134/S0965542508060018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two useful estimates are proved for the Fourier transform in the space of square integrable functions on certain classes of functions characterized by the generalized continuity modulus.
引用
收藏
页码:885 / 891
页数:7
相关论文
共 14 条
  • [1] ABILOV VA, 2002, MATH BALKANICA, V16, P73
  • [2] ABILOV VA, 2004, MAT ZAMETKI, V76, P803
  • [3] [Anonymous], 1969, APPROXIMATION FUNCTI
  • [4] [Anonymous], 1906, REND PALERMO
  • [5] Bochner S., 1959, LECT FOURIER INTEGRA
  • [6] Dzhrbashyan M. M., 1966, Integral Transformations and Representations of Functions in the Complex Domain
  • [7] KHARSHILADZE FI, 1966, T TBILISSKOGO MAT I, V3, P55
  • [8] KHARSHILADZE FI, 1953, SOOBSHCH AKAD NAUK G, V14, P139
  • [9] Lanina EG, 2000, VESTN MOSK U MAT M+, P49
  • [10] Plancherel M., 1910, REND CIRC MAT PALERM, V30, P289, DOI DOI 10.1007/BF03014877