Notes on a formula of Carlitz
S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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Terence Chan (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Josef Matušů (1991)
Applications of Mathematics
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The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
L. Carlitz (1969)
Acta Arithmetica
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El Hassan Zerrik, Hamid Bourray, Samir Ben Hadid (2010)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the problem of regional observability of hyperbolic systems in the case where the subregion of interest is a boundary part of the system evolution domain. We give a definition and establish characterizations in connection with the sensor structure. Then we show that it is possible to reconstruct the system state on a subregion of the boundary. The developed approach, based on the Hilbert uniqueness method (Lions, 1988), leads to a reconstruction algorithm. The obtained...