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Analyticity Theorem for Fractional Laplace Transform

P. R. Deshmukh and A. S. Gudadhe

Canonical transformation when applied to a quantum mechanics, in a group need to be extended from real domain to complex. Torre A. had introduced fractional Laplace transform a special case of linear canonical transform with complex entries in the representative matrix. The fractional Laplace transform (FrLT) has been used in several areas including signal processing, optical communication etc. In this paper we have proved the analyticity theorem for the generalized fractional Laplace transform.