# Operational calculus and Fourier transform on Boehmians

Colloquium Mathematicae (2005)

- Volume: 102, Issue: 1, page 21-32
- ISSN: 0010-1354

## Access Full Article

top## Abstract

top## How to cite

topV. 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 -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.