2014European Journal of Applied Engineering and Scientific ResearchRequires access

Analyticity of distributional generalized Laplace-Finite Mellin Transform

Vidya Dev Sharma, M. M. Thakare

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Abstract

Mellin transform is one kind of non lincar transformations which is widely used its scale invariance property. It is important in vision & Image Processing. In this paper Laplace-finite Mellin transform is extended in the distribution generalized sense. Testing function space is defined Analyticity theorem for the generalized Leplacefinite Mellin transform is proved.

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Mellin transform is one kind of non lincar transformations which is widely used its scale invariance property. It is important in vision & Image Processing. In this paper Laplace-finite Mellin transform is extended in the distribution generalized sense. Testing function space is defined Analyticity theorem for the generalized Leplacefinite Mellin transform is proved.

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Available abstract

Mellin transform is one kind of non lincar transformations which is widely used its scale invariance property. It is important in vision & Image Processing. In this paper Laplace-finite Mellin transform is extended in the distribution generalized sense. Testing function space is defined Analyticity theorem for the generalized Leplacefinite Mellin transform is proved.

Key concepts: Mellin transform, Two-sided Laplace transform, Mellin inversion theorem, Laplace transform, Mathematics, Laplace transform applied to differential equations, Distribution (mathematics), Mathematical analysis

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