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The transmutation operator for −d2/(w(x) dx2)

Published online by Cambridge University Press:  14 November 2011

Amin Boumenir
Amin Boumenir
Affiliation:
Department of Mathematics, K.F.U.P.M. Dhahran, 31261, Saudia Arabia
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Abstract

We would like to obtain the transmutation operator V, associated with the self-adjoint operators −d2/(w(x) dx2) and (−d2/(w(x) dx2)) + h(x), where w(x) ≎ xa as x → 0. We shall show that V = 1 + K, where K is a lower triangular Volterra operator.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 85 - 98
Copyright
Copyright © Royal Society of Edinburgh 1995

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