Abstract

ABSTRACTThe present research is devoted to integral operators related to generalized convolutions (polyconvolutions) for the Hankel transform .The generalized convolution defined by the Parseval type equality is considered in spaces and . Existence conditions and boundary properties are found.Watson's-type theorems for convolution operators are proved. The integral operators with unsymmetrical kernels are studied. Some examples of solving integral equations are given.

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