Operational calculus and Fourier transform on Boehmians

Tom 102 / 2005

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

Streszczenie

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.

Autorzy

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

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