On approximation properties of the parabolic potentials

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Uyhan S., Gadjiev A. D., Aliyev İ.

Bulletin of the Australian Mathematical Society, vol.74, no.3, pp.449-460, 2006 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 74 Issue: 3
• Publication Date: 2006
• Doi Number: 10.1017/s0004972700040491
• Journal Name: Bulletin of the Australian Mathematical Society
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.449-460
• Akdeniz University Affiliated: Yes

Abstract

In this paper the approximation properties of parabolic potentials H α f and Hα f generated by the heat operators (-Δx + ∂/∂t and (E - Δx + ∂/∂t, where Δx = Σk=1n ∂2/∂xk2 are studied as α → 0+. Copyright Clearance Centre, Inc.