Zameddin I. Ismailov, Rukiye Ozturk Mert
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.
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| Zameddin I. Ismailov |
Department of Mathematics, Faculty of Sciences
Karadeniz Technical University
61080, Trabzon, Turkey
| Rukiye Ozturk Mert |
Department of Mathematics, Art and Science Faculty
Hitit University, 19030, Corum, Turkey