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Linear functional equations. Operator approach
Antonevich, A. B. (Anatoliĭ Borisovich)Basel ; Boston : Birkhäuser Verlag, c1996.This monograph offers an approach to the investigation of a general class of functional equations based on the examination of functional operators and Banach algebras generated by them, synthesizing methods involving dynamical systems, operator algebras and pseudodifferential operators. Special attention is paid to spectral properties of functional operators, and index formulae are derived. Applications are given to functional equations, boundary value problems and equations of convolution type.
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