The Mejer transformation of generalized functions.
Koh, E.L., Deeba, E.Y., Ali, M.A. (1987)
International Journal of Mathematics and Mathematical Sciences
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Koh, E.L., Deeba, E.Y., Ali, M.A. (1987)
International Journal of Mathematics and Mathematical Sciences
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Rao, G.L.N., Debnath, L. (1985)
International Journal of Mathematics and Mathematical Sciences
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Bahuguna, D., Srivastava, S.K. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Kalabušić, Senada, Vajzović, Fikret (2003)
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N. Hayek, Benito J. González (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper the index transformation being the Gauss hypergeometric function, is defined on certain space of generalized functions and its inversion formula established for distributions of compact support on .
Nguyen, Thanh Lan (2001)
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Belmekki, M., Benchohra, M., Ntouyas, S.K. (2006)
Fixed Point Theory and Applications [electronic only]
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Ralph deLaubenfels (1992)
Studia Mathematica
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Suppose A is a (possibly unbounded) linear operator on a Banach space. We show that the following are equivalent. (1) A is well-bounded on [0,∞). (2) -A generates a strongly continuous semigroup such that is the Laplace transform of a Lipschitz continuous family of operators that vanishes at 0. (3) -A generates a strongly continuous differentiable semigroup and ∃ M < ∞ such that , ∀s > 0, n ∈ ℕ ∪ 0. (4) -A generates a strongly continuous holomorphic semigroup that is O(|z|)...