On Modified Mellin Transform of Generalized Functions | Zendy

Shrideh AlOmari | Zendy; Adem Kılıçman | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Modified Mellin Transform of Generalized Functions

Author(s) -

Shrideh AlOmari,

Adem Kılıçman

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/539240

Subject(s) - mellin transform , mellin inversion theorem , mathematics , convolution (computer science) , two sided laplace transform , convolution theorem , inversion (geology) , laplace transform , hartley transform , space (punctuation) , generalized function , consistency (knowledge bases) , mathematical analysis , pure mathematics , fractional fourier transform , fourier transform , discrete mathematics , computer science , artificial intelligence , fourier analysis , paleontology , structural basin , artificial neural network , biology , operating system

We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined. Consistency, convolution, analyticity, continuity, and sufficient theorems for the proposed transform have been established. An inversion formula is also obtained and many properties are given.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research