Convolution for the Mehler-Fock transform of generalized functions

被引：4
|
作者：
Hayek, N [1 ]
González, BJ [1 ]
机构：
[1] Univ La Laguna, Dept Anal Matemat, ES-38271 Canary Isl, Spain
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2000年 / 9卷 / 04期
关键词：
index transform; Mehler-Fock transform; translation operator; convolution; generalized functions;
D O I：
10.1080/10652460008819260
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a convolution structure for the Mehle-Fock transform is considered on certain space of generalized functions. The connection between the classical convolution of the Mehler-Fock transform with the convolution of generalized functions is also exhibited.
引用
收藏
页码：257 / 270
页数：14
相关论文
共 50 条
  • [21] ON THE CONVOLUTION THEOREM OF THE MEHLER-FOCK-TRANSFORM FOR A CLASS OF GENERALIZED-FUNCTIONS .1.
    GLAESKE, HJ
    HESS, A
    MATHEMATISCHE NACHRICHTEN, 1987, 131 : 107 - 117
  • [22] Characterization of Weyl operator in terms of Mehler-Fock transform
    Verma, Sandeep Kumar
    Prasad, Akhilesh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (15) : 9119 - 9128
  • [23] SYSTEM OF DUAL INTEGRAL-EQUATIONS CONNECTED WITH THE MEHLER-FOCK GENERALIZED INTEGRAL TRANSFORM
    PONOMARENKO, SP
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1979, (06): : 420 - 424
  • [24] Heat Kernel in the Framework of Zero Order Mehler-Fock Transform
    Prasad, Akhilesh
    Verma, Sandeep Kumar
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (07) : 3235 - 3249
  • [25] Localization Operators and Scalogram in the Framework of Mehler-Fock Wavelet Transform
    Dades, Abdelaali
    Tyr, Othman
    Daher, Radouan
    Fantasse, Yassine
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (08)
  • [26] Discrete Mehler-Fock transforms
    Yakubovich, S.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (08) : 645 - 654
  • [27] Mehler-Fock Transformation of Ultradistribution
    Loonker, Deshna
    Banerji, P. K.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2009, 4 (01): : 237 - 248
  • [28] The order Mehler-Fock transform and allied pseudo-differential operator
    Prasad, Akhilesh
    Mandal, U. K.
    Ranjan, Sudhanshu
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2025, 36 (03) : 163 - 175
  • [29] An operational calculus for a Mehler-Fock type index transform on distributions of compact support
    Srivastava, H. M.
    Gonzalez, B. J.
    Negrin, E. R.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (01)
  • [30] An Index Integral and Convolution Operator Related to the Kontorovich-Lebedev and Mehler-Fock Transforms
    Yakubovich, Semyon
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (04) : 947 - 970
12345