TEMPERED BOEHMIANS AND ULTRADISTRIBUTIONS

被引:49
|
作者
MIKUSINSKI, P
机构
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
  • [1] TEMPERED ULTRADISTRIBUTIONS
    PILIPOVIC, S
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2B (02): : 235 - 251
  • [2] Hartley transform for tempered Boehmians
    Loonker, Deshna
    Banerji, P. K.
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2011, 81A : 23 - 28
  • [3] On the mellin transform of tempered Boehmians
    Banerji, P.K.
    Loonker, D.
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2000, 62 (04): : 39 - 48
  • [4] The Hankel transform of tempered Boehmians
    Betancor, JJ
    Linares, M
    Mendez, JMR
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1996, 10B (02): : 325 - 340
  • [5] An algebraic approach to tempered ultradistributions
    Jaksic, Smiljana
    Maksimovic, Snjezana
    Pilipovic, Stevan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 927 - 935
  • [6] The Cauchy Representation of Integrable and Tempered Boehmians
    Loonker, Deshna
    Banerji, Pradeep Kumar
    KYUNGPOOK MATHEMATICAL JOURNAL, 2007, 47 (04): : 481 - 493
  • [7] Characterization of the w-Tempered Ultradistributions
    Abu-Falahah, Ibraheem
    Obiedat, Hamed M.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02): : 133 - 140
  • [8] Kernel theorems for the spaces of tempered ultradistributions
    Lozanov-Crvenkovic, Z.
    Perisic, D.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (10) : 699 - 713
  • [9] CONVOLUTION THEOREMS FOR WAVELET TRANSFORM ON TEMPERED DISTRIBUTIONS AND THEIR EXTENSION TO TEMPERED BOEHMIANS
    Roopkumar, R.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2009, 2 (01) : 117 - 127
  • [10] Semilinear pseudodifferential equations in spaces of tempered ultradistributions
    Cappiello, Marco
    Pilipovic, Stevan
    Prangoski, Bojan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (01) : 317 - 338