A+ CATEGORY SCIENTIFIC UNIT

Operational calculus and Fourier transform on Boehmians

Volume 102 / 2005

V. Karunakaran, R. Roopkumar Colloquium Mathematicum 102 (2005), 21-32 MSC: 44A20, 44A45, 46F12. DOI: 10.4064/cm102-1-3

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 $(e^{ist}$, $s,t\in {\mathbb R})$, 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.

Authors

  • V. KarunakaranSchool of Mathematics
    Madurai Kamaraj University
    Madurai-625021, India
    e-mail
  • R. RoopkumarSchool of Mathematics
    Madurai Kamaraj University
    Madurai-625021, India
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image