ON THE POINT SPECTRUM OF THE FINITE RANK FREDHOLM INTEGRAL OPERATOR
Keywords:
integral operator, kernel, Fredholm operator, parameter function, rank of operator.Abstract
In the present note it is considered the Fredholm integral operator with, rank in the Hilbert space . Firstly, it is mentioned that the number 0 is an eigenvalue of the Fredholm integral operator with infinite multiplicity. The Fredholm determinant corresponding to this operator is constructed and its point spectrum is described.
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