TWO-DIMENTIONAL INTEGRAL TRANSFORM WITH THE H-FUNCTION IN THE KERNEL IN THE SPACE OF SUMMABLE FUNCTIONS
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Abstract
Two-dimentional analog of modified H- transform involving H- function in the kernel is studied on the space of summable functions on a domain 2 1 1 R++ = R+ ´ R+ . Mapping properties such as the boundedness, the range of the considered transform are given, and the inversion formula is established. The results generalize the well know findings for corresponding one-dimentional integral transform.
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References
Kilbas, A.A. H-Transforms. Theory and Applications / A.A. Kilbas, M.H. Saigo. – London : Chapman and Hall. CRC Press, 2004. – 401 p.
Самко, С.Г. Интегралы и производные дробного порядка и некоторые их приложения / С.Г. Самко А.А. Килбас, О.И. Маричев. – Минск : Наука и техника, 1987. – 688 с.
Kilbas, A.A. Theory and applications of fractional differential equations / A.A. Kilbas, H.M. Srivastava, J.J. Trujillo. – Amsterdam : Elsevier, 2006. – 523 p.
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