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Spectral Expansion of a Non-Self-Adjoint Differential Operator on the Whole Axis

✍ Scribed by Gülen Başcanbaz-Tunca

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
146 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this article, we consider an operator L defined by the differential expression l l y s yy Y q q x y,

we have proved a spectral expansion of L in terms of the principal functions, taking into account the spectral singularities. We have also investigated the convergence of the spectral expansion of L.

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