Document Details

Document Type : Article In Journal 
Document Title :
Product Formula for Imaginary Resolvents and its Application
قاعدة حاصل الضرب للمؤثرات الحلية التخيلية وتطبيقها
 
Subject : mathematics 
Document Language : English 
Abstract : ABSTRACT. In this paper we study a product fonnula for imagin~ resolvents of the Schrodinger operator -~ + q as well as elliptic differential operators (generalized Schrodinger operators) of a complex Hilbert space H under the conditions [q], [ak] and [bk]. The resolvents and related functions are given by an integral kernel, which is bounded by a convolution with a radial decreasing L\- function. We examine the weakest conditions under which the Schrodingerequation i ~ = Ku , with u(x,O) = v(x) , V E D(K) and K the realization in H of the Schrodinger operator. (a,ndthe generalized SchrOdinger operator), can be solved. The solutionis represented as a sequential limit of finite dimensional integrals involving the kerne[ of the imaginary resolvent of (-~) and ( I akDk). 
ISSN : 1012-1319 
Journal Name : Science Journal 
Volume : 1 
Issue Number : 1 
Publishing Year : 1409 AH
1989 AD 
Number Of Pages : 9 
Article Type : Article 
Added Date : Sunday, October 11, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمود صبري سيفMAHMOUD SABRY SAIFResearcher  

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