Complex Powers of Nondensely Defined Operators
Marko Kostić (2011)
Publications de l'Institut Mathématique
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Marko Kostić (2011)
Publications de l'Institut Mathématique
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Celso Martinez, Miguel Sanz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Martinez, C., Sanz, M., Calvo, V. (1989)
International Journal of Mathematics and Mathematical Sciences
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Martínez, Celso, Sanz, Miguel, Redondo, Antonia (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 47A60, 47D06. In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A)(−1)|| ≤ (λ(−1) + λm) M for all λ > 0 and for some constants M > 0 and m ∈ R. This class of operators strictly contains the class of the non negative operators and the one of operators with polynomially bounded resolvent....
Celso Martínez, Miguel Sanzi, Francisco Periago (1999)
Studia Mathematica
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For different reasons it is very useful to have at one’s disposal a duality formula for the fractional powers of the Laplacean, namely, , α ∈ ℂ, for ϕ belonging to a suitable function space and u to its topological dual. Unfortunately, this formula makes no sense in the classical spaces of distributions. For this reason we introduce a new space of distributions where the above formula can be established. Finally, we apply this distributional point of view on the fractional powers of...
H. Hövel, U. Westphal (1972)
Studia Mathematica
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Celso Martínez, Miguel Sanz (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kim, Yong Chan, Choi, Jae Ho, Lee, Jin Seop (1998)
International Journal of Mathematics and Mathematical Sciences
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Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.