The convolution equation related to the diamond kernel of marcel riesz

Far East Journal of Mathematical Sciences

Volumn 45, Issue 1, 2010, Pages 121-134

  Nonlaopon, Kamsing ^a,b  

^a KHON KAEN UNIVERSITY   (Thailand)

^b Thailand Ministry of Science and Technology   (Thailand)

Author keywords

Diamond kernel of marcel riesz; Dirac delta distribution; Tempered distribution

Indexed keywords

EID: 78649895418     PISSN: 09720871     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. S. Bupasiri and K. Nonlaopon, On the weak solutions of compound equations related to the ultra-hyperbolic operators, Far East J. Appl. Math. 35(1) (2009), 129-139.
2. I. M. Gelfand and G. E. Shilov, Generalized Functions, Vol. 1, Academic Press, New York, 1964.
3. A. Kananthai, On the convolution equation related to the diamond kernel of Marcel Riesz, J. Comput. Appl. Math. 100 (1998), 33-39.
4. A. Kananthai, On the convolutions of the diamond kernel of Marcel Riesz, Appl. Math. Comput. 114 (2000), 95-101.
5. A. Kananthai, On the convolution equation related to the N-dimensional ultrahyperbolic operator, J. Comput. Appl. Math. 115 (2000), 301-308.
6. A. Kananthai, On the distribution related to the ultra-hyperbolic equations, J. Comput. Appl. Math. 84 (1997), 101-106.
7. A. Kananthai, On the Fourier transform of the diamond kernel of Marcel Riesz, Appl. Math. Comput. 101 (1999), 151-158.
8. A. Kananthai, On the product of the ultra-hyperbolic operator related to the elastic waves, Comput. Technol. 4 (1999), 88-91.
9. A. Kananthai, On the solution of the n-dimensional diamond operator, Appl. Math. Comput. 88 (1997), 27-37.
10. Y. Nozaki, On Riemann-Liouville integral of ultra-hyperbolic type, Kodai Math. Seminar Reports 6(2) (1964), 69-87.
11. P. Sasopa and K. Nonlaopon, On the convolution equation related to the ultrahyperbolic operator, Far East J. Math. Sci. (FJMS) 35(3) (2009), 295-308.
12. L. Schwartz, Theories des distribution, Vols. 1 and 2, Actualites Scientifiques et Industriel, Hermann & Cie, Paris, 1957/1959.
13. G. Sritanratana and A. Kananthai, On the product of the non-linear diamond operator related to the elastics wave, Appl. Math. Comput. 147 (2000), 79-88.
14. M. A. Tellez, The distribution Hankel transform of Marcel Riesz's ultra-hyperbolic kernel, Stud. Appl. Math. 93 (1994), 133-162.
15. S. E. Trione, On Marcel Riesz's ultra-hyperbolic kernel, Trabajos de Math. 116 (1987), 1-12.