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On an Riesz basis of generalized eigenvectors of the nonselfadjoint problem deduced from a perturbation method for sound radiation by a vibrating plate in a light fluid

✍ Scribed by Aref Jeribi; Abdelkader Intissar


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
230 KB
Volume
292
Category
Article
ISSN
0022-247X

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✦ Synopsis


In this paper we prove that the system of generalized eigenvectors of the operator (I + εK) -1 × d 4 /dx 4 forms a Riesz basis of L 2 (]-L, L[) where K is the integral operator with kernel the Hankel function of the first kind and order 0. This operator was introduced in J.