TEMPERED BOEHMIANS AND ULTRADISTRIBUTIONS

被引：49
|
作者：
MIKUSINSKI, P
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 03期
关键词：
BOEHMIANS; ULTRADISTRIBUTIONS; FOURIER TRANSFORM;
D O I：
10.2307/2160805
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space xi(1) of ultradistributions.
引用
收藏
页码：813 / 817
页数：5
相关论文
共 50 条
  • [41] Boehmians and their Hilbert transforms
    Karunakaran, V
    Roopkumar, R
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (02) : 131 - 141
  • [42] MELLIN TRANSFORM FOR BOEHMIANS
    Roopkumar, R.
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2009, 4 (01): : 75 - 96
  • [43] On point values of Boehmians
    Karunakaran, V
    Vembu, R
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (01) : 181 - 193
  • [44] On the Wavelet Transform for Boehmians
    Abhishek Singh
    Aparna Rawat
    Shubha Singh
    P. K. Banerji
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022, 92 : 331 - 336
  • [45] Boehmians and Fourier transform
    Karunakaran, V
    Kalpakam, NV
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (03) : 197 - 216
  • [46] Poisson transform on Boehmians
    Roopkumar, R.
    Negrin, E. R.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2740 - 2748
  • [47] Boehmians representing measures
    Karunakaran, V
    Kalpakam, NV
    HOUSTON JOURNAL OF MATHEMATICS, 2000, 26 (02): : 377 - 386
  • [48] Convolution transform for Boehmians
    Kalpakam, NV
    Ponnusamy, S
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (04) : 1353 - 1378
  • [49] Hilbert transform for Boehmians
    Karunakaran, V
    Kalpakam, NV
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (01) : 19 - 36
  • [50] ON COHOMOLOGICAL ULTRADISTRIBUTIONS
    MORIMOTO, M
    ANNALES DE L INSTITUT FOURIER, 1969, 19 (02) : 129 - &
12345