An extension of distributional wavelet transform

• Autorzy: R. Roopkumar
• Języki publikacji: EN

Abstrakty

EN

We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.

Kategorie tematyczne

• 46F12: Integral transforms in distribution spaces
• 44A15: Special transforms (Legendre, Hilbert, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 2
• Strony: 195-206

Daty

wydano

2009

Twórcy

autor

R. Roopkumar

• Department of Mathematics, Alagappa University, Karaikudi 630 003, India

Identyfikatory

DOI

10.4064/cm115-2-5