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 
@article{10_4064_cm102_1_3,
     author = {V. Karunakaran and R. Roopkumar},
     title = {Operational calculus and
 {Fourier} transform on {Boehmians}},
     journal = {Colloquium Mathematicum},
     pages = {21--32},
     publisher = {mathdoc},
     volume = {102},
     number = {1},
     year = {2005},
     doi = {10.4064/cm102-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-3/}
}
TY  - JOUR
AU  - V. Karunakaran
AU  - R. Roopkumar
TI  - Operational calculus and
 Fourier transform on Boehmians
JO  - Colloquium Mathematicum
PY  - 2005
SP  - 21
EP  - 32
VL  - 102
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-3/
DO  - 10.4064/cm102-1-3
LA  - en
ID  - 10_4064_cm102_1_3
ER  - 
%0 Journal Article
%A V. Karunakaran
%A R. Roopkumar
%T Operational calculus and
 Fourier transform on Boehmians
%J Colloquium Mathematicum
%D 2005
%P 21-32
%V 102
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-3/
%R 10.4064/cm102-1-3
%G en
%F 10_4064_cm102_1_3
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. http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-3/

Cité par Sources :