Geodesic
Operational calculus and Fourier transform on Boehmians
V. Karunakaran1 ; R. Roopkumar1
1 School of Mathematics Madurai Kamaraj University Madurai-625021, India
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 21-32

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters $(e^{ist}$, $s,t\in {\mathbb R})$, translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.
DOI : 10.4064/cm102-1-3
Keywords: define various operations space ultra boehmians multiplication certain analytic functions which fourier transforms compactly supported distributions polynomials characters ist mathbb translation differentiation prove fourier transform space ultra boehmians has operational properties classical theory

V. Karunakaran 1 ; R. Roopkumar 1

1 School of Mathematics Madurai Kamaraj University Madurai-625021, India 
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V. Karunakaran; R. Roopkumar. Operational calculus and
 Fourier transform on Boehmians. Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 21-32. doi: 10.4064/cm102-1-3

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