A Note on Weierstrass Transform of Hyperfunctions
A. N. Deepthi1, N. R. Mangalambal2
1A. N. Deepthi, Centre for Research, Department of Mathematical Sciences, St.Joseph’s College, Irinjalakuda, Thrissur (Kerala), India.
2N. R. Mangalambal, Department of Mathematics, St.Joseph’s College, Irinjalakuda, Thrissur (Kerala), India.
Manuscript received on 01 May 2019 | Revised Manuscript received on 15 May 2019 | Manuscript published on 30 May 2019 | PP: 1247-1252 | Volume-8 Issue-7, May 2019 | Retrieval Number: G6363058719/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper the Weierstrass transform of Sato’s hyperfunctions and some of its properties are studied using the concept of defining function of hyperfunctions and the Laplace transform of hyperfunctions.
Keyword: Hyperfunctions, Laplace Transform, Weierstrass Transform
Scope of the Article: Applied Mathematics and Mechanics.