# SUMMATION OF TWO OPERATOR SERIES CONTAINING THE LAPLACE OPERATOR

@inproceedings{Karachik2007SUMMATIONOT, title={SUMMATION OF TWO OPERATOR SERIES CONTAINING THE LAPLACE OPERATOR}, author={V. Karachik}, year={2007} }

System of functions which is f -normalized with respect to 1 ( ) L I , (I is the identical operator) is called f -normalized with respect to 1. L In this case 1 0( ) ( ); L f x f x = 1 1 ( ) ( ) . k k L f x f x k N − = , ∈ The main property of the system of functions { } ( ) : 0 1 2, ... k f x k = , , f -normalized with respect to operators 1 2 ( ) L L , in the domain Ω is in the following: the series

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