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A new integral transform and associated distributions. (English) Zbl 1191.35017
Summary: We generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.

MSC:
35A22 Transform methods (e.g., integral transforms) applied to PDEs
44A35 Convolution as an integral transform
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