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
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
  • [1] On the Mehler-Fock transform of generalized functions
    Hayek, N.
    Gonzalez, B.J.
    Bulletin de la Societe Royale des Sciences de Liege, 1992, 61 (3-4):
  • [2] Algebraic properties of Mehler-Fock convolution and applications
    Hoang, Pham Van
    Hong, Nguyen Thanh
    Huy, Le Xuan
    Van, Nguyen Hong
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (12) : 655 - 669
  • [3] A MEHLER-FOCK TYPE INTEGRAL TRANSFORM
    MANDAL, BN
    ROY, PG
    APPLIED MATHEMATICS LETTERS, 1991, 4 (04) : 29 - 32
  • [4] Abelian Theorems for Laplace and Mehler-Fock Transforms of Generalized Functions
    Gonzalez, B. J.
    Negrin, E. R.
    FILOMAT, 2020, 34 (11) : 3655 - 3662
  • [5] On the Exchange Property for the Mehler-Fock Transform
    Singh, Abhishek
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2016, 11 (02): : 828 - 839
  • [6] ASYMPTOTIC EXPANSIONS OF THE MEHLER-FOCK TRANSFORM
    PATHAK, RS
    PANDEY, RN
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1989, 99 (02): : 175 - 180
  • [7] THE GENERALIZED MEHLER-FOCK TRANSFORMATION OF DISTRIBUTIONS
    PATHAK, RS
    PANDEY, RK
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1985, 10 (01): : 39 - 57
  • [8] The Mehler-Fock Transform in Signal Processing
    Lenz, Reiner
    ENTROPY, 2017, 19 (06)
  • [9] Mehler-Fock transforms of generalized functions via the method of adjoints
    Gonzalez, BJ
    Negrin, ER
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (11) : 3243 - 3253
  • [10] The continuous Mehler-Fock wavelet packets transform
    Dades, Abdelaali
    Daher, Radouan
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2025, 36 (01) : 1 - 15