Discreteness of the Spectrum of a Polar Differential Operation in the Space of Vector Functions

M. G. Gimadislamov

Bashkir State University

Abstract: Sufficient conditions for the discreteness of the spectrum of a polar differential operation in the space of vector functions are obtained.

Keywords: polar differential operation, space of vector functions, spectral theory, discrete spectrum, matrix function, splitting principle, deficiency index.

UDC: 517.984

Received: 28.06.2007

DOI: 10.4213/mzm3902

 English version: Mathematical Notes, 2009, 85:3, 348–352

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