• ON DYNAMICAL SYSTEM AND SEMIGROUPS INDUCED BY COMPOSITE CONVOLUTION OPERATORS

ANUPAMA GUPTA*

Abstract


In this paper, we analyse Composite Convolution operators which are obtained by composing convolution operators with composition operators. We calculate the norm of composite convolution operators. The norm of trace of composite convolution operators has also been explored. In this paper, an attempt has been made to investigate semigroups of one-parameter family and two-parameter family of composite convolution operators. A dynamical system induced by composite convolution operator is also obtained.


Keywords


Composition operator, Composite Convolution operator, Radon- Nikodym derivative, Expectation operator Semigroup, Dynamical system.

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