Parabolic potentials and wavelet transforms with the generalized translation

• Autorzy: Ilham A. Aliev , Boris Rubin
• Języki publikacji: EN

Abstrakty

EN

Parabolic wavelet transforms associated with the singular heat operators $- Δ_{γ} + ∂/∂t$ and $I - Δ_{γ} + ∂/∂t$, where $Δ_{γ} = ∑_{k=1}^{n} {∂²/∂x²_{k}} + (2γ/xₙ) ∂/∂xₙ$, are introduced. These transforms are defined in terms of the relevant generalized translation operator. An analogue of the Calderón reproducing formula is established. New inversion formulas are obtained for generalized parabolic potentials representing negative powers of the singular heat operators.

Kategorie tematyczne

• 42C40: Wavelets and other special systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 1
• Strony: 1-16

Daty

wydano

2001

Twórcy

autor

Ilham A. Aliev

• Department of Mathematics, Akdeniz University, 07058 Antalya, Turkey

autor

Boris Rubin

• Institute of Mathematics, The Hebrew University, 91904 Jerusalem, Israel

Identyfikatory

DOI

10.4064/sm145-1-1