Wavelet-type Transform and Bessel Potentials Associated with the Generalized Translation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Wavelet-type Transform and Bessel Potentials Associated with the Generalized Translation

Authors:	Ilham A. Aliev Melih Eryigit

Affiliation:	(1) Science and Art Faculty, Dept. of Mathematics, Akdeniz University, 07058 Antalya, Turkey

Abstract:	Wavelet–type transform associated with singular Laplace–Bessel differential operator $Delta _nu = sumlimits_{k = 1}^n {frac{{partial ^2 }} {{partial x_k^2 }}} + frac{{2nu}} {{x_n }}frac{partial } {{partial x_n }}$ is introduced and the relevant Calderón–type reproducing formula is established. Representations of the generalized Bessel potentials $(E - Delta _nu )^{ - alpha /2} f,quad (Re alpha > 0)$ and their inverses via the wavelet–type transform are obtained.

Keywords:	65R10 26A33
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