On The Convolution Operator And Applications To Differential And Integral Equations
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Type of WorkText
ProgramMaster of Arts
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We take an in-depth look at conditions which ensure the pseudo almost periodicity, asymptotic almost periodicity and the almost automorphy of the convolution of f with h denoted by f * h where f is pseudo almost periodic, asymptotically almost periodic or almost automorphic and h is a Lebesgue integrable function. We make extensive use of these conditions to investigate the pseudo almost periodic, asymptotically almost periodic and almost automorphic solutions of some differential and integral equations.