On the convolution equation related to the diamond kernel of Marcel Riesz

Journal of Computational and Applied Mathematics

Volumn 100, Issue 1, 1998, Pages 33-39

  Kananthai, Amnuay ^a  

^a CHIANG MAI UNIVERSITY   (Thailand)

Author keywords

Diamond operator; Dirac delta distributions; Kernel of Marcel Riesz; Tempered distribution

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

DIAMOND OPERATOR; DIRAC DELTA DISTRIBUTIONS; KERNEL OF MARCEL RIESZ; TEMPERED DISTRIBUTION;

ITERATIVE METHODS;

EID: 0032202430     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00128-9     Document Type: Article

References (5)

1. W.F. Donoghue, Distribution and Fourier Transform, Academic Press, 1969.
2. A. Kananthai, On the solution of the n-dimensional Diamond operator, Applied Mathematics and Computation, Elsevier, 88 (1997), 27-37.
3. Y. Nozaki, On the Riemann-Liouville integral of ultra-hyperbolic type Kodai Mathematical Seminar Reports 6(2) (1964) 69-87.
4. L. Schwartz, Theorie des Distribution, Vols. 1 and 2 Actualite's, Scientifiques et Industrial, Hermann, Paris, 1957, 1959.
5. S.E. Trione, On Marcel Riesz's ultra-hyperbolic Kernel, Trabajos de Matematica 116 preprint, 1987.