Operational calculus and Fourier transform on Boehmians

V. Karunakaran, and R. Roopkumar. "Operational calculus and Fourier transform on Boehmians." Colloquium Mathematicae 102.1 (2005): 21-32. <http://eudml.org/doc/283933>.

@article{V2005,
abstract = {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 $(e^\{ist\}, s,t ∈ ℝ)$, 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.},
author = {V. Karunakaran, R. Roopkumar},
journal = {Colloquium Mathematicae},
keywords = {Boehmians; generalized product; Fourier transform; ultradistributions},
language = {eng},
number = {1},
pages = {21-32},
title = {Operational calculus and Fourier transform on Boehmians},
url = {http://eudml.org/doc/283933},
volume = {102},
year = {2005},
}

TY - JOUR
AU - V. Karunakaran
AU - R. Roopkumar
TI - Operational calculus and Fourier transform on Boehmians
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 21
EP - 32
AB - 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 $(e^{ist}, s,t ∈ ℝ)$, 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.
LA - eng
KW - Boehmians; generalized product; Fourier transform; ultradistributions
UR - http://eudml.org/doc/283933
ER -