Zameddin I. Ismailov, Rukiye Ozturk Mert
Abstract:
In this work, we describe all selfadjoint extensions of the minimal
operator generated by linear singular multipoint symmetric differential
expression
,
with selfadjoint
operator coefficients
,
in a Hilbert space.
This is done as a direct sum of Hilbert spaces of vector-functions
where
.
Also, we study the structure of the spectrum of these extensions.
Submitted April 29, 2013. Published May 27, 2013.
Math Subject Classifications: 47A10, 47A20.
Key Words: Quantum field theory; spectrum; multipoint differential operators;
selfadjoint extension.
Show me the PDF file (214 KB), TEX file, and other files for this article.
Zameddin I. Ismailov Department of Mathematics, Faculty of Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: zameddin@yahoo.com | |
Rukiye Ozturk Mert Department of Mathematics, Art and Science Faculty Hitit University, 19030, Corum, Turkey email: rukiyeozturkmert@hitit.edu.tr |