MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
Abstract
The paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.
A determining factor of its construction is a linear differential operator
T = t d/dt in the {f(0)}. «originals» set. The paper shows that in the case of a linear algebraic operator the simplest and agreed-upon transform is obtained with the help of multiplication of the corresponding F(u) «image» by a trivial k(u) = –и function.
References
1. Гахович, А. С. К вопросу об интегральных преобразованиях / А. С. Гахович // Весцi АН БССР, сер. фiз.-мат. навук. – 1987. – № 6.
2. Гахович, А. С. Простейшая реализация общей схемы построения интегральных преобразований / А. С. Гахович. – Деп. в ВИНИТИ 03.09.1988, № 6245.
Review
For citations:
Gakhovich A.S. MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION. Science & Technique. 2009;(4):80-82. (In Russ.)
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