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Vietnam Journal of Mathematics 39:4 (2011) 443-464

Vector-Pseudodifferential Operators Related to Orthogonal Expansions of Generalized Functions and Applications to Systems of Dual Series Equations

Nguyen Van Ngoc

Institute of Mathematics, 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam

Abstract. The aim of the present work is to introduce some functional spaces for investigating vector- pseudodifferential operators involving orthogonal expansions of generalized functions and their applications to systems of dual series equations.

2000 Mathematics Subject Classification: 42A38, 45H05, 46F05, 46F10, 47G30.

Keywords: Integral transforms, integral equations, mixed boudary value problems of elasticity.

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Published by Springer since January 2013