Operational calculus and Fourier transform on Boehmians

• Autorzy: V. Karunakaran , R. Roopkumar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 44A20: Transforms of special functions
• 46F12: Integral transforms in distribution spaces
• 44A45: Classical operational calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 1
• Strony: 21-32

Daty

wydano

2005

Twórcy

autor

V. Karunakaran

• School of Mathematics, Madurai Kamaraj University, Madurai-625021, India

autor

R. Roopkumar

• School of Mathematics, Madurai Kamaraj University, Madurai-625021, India

Identyfikatory

DOI

10.4064/cm102-1-3