Abstract
General elliptic boundary value problems with the spectral parameter appearing linearly both in the elliptic equation and in boundary conditions are considered. It is proved that the corresponding matrix operator from the Boutet de Monvel algebra is similar to an almost diagonal operator. This result is applied to prove the completeness and the summability (in the sense of Abel) of the root vectors of this operator.
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The support of the Rashi Foundation is gratefully acknowledged.
The support of the Israel Ministry of Science and Technology is gratefully acknowledged.
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Kozhevnikov, A., Yakubov, S. On operators generated by elliptic boundary problems with a spectral parameter in boundary conditions. Integr equ oper theory 23, 205–231 (1995). https://doi.org/10.1007/BF01197537
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DOI: https://doi.org/10.1007/BF01197537