# C*-Algebra approach to the index theory of boundary value problems

@inproceedings{Melo2012CAlgebraAT, title={C*-Algebra approach to the index theory of boundary value problems}, author={Severino T. Melo and Elmar Schrohe and Thomas Schick}, year={2012} }

Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatinski and Shapiro, it associates to each operator two symbols: a pseudodifferential principal symbol, which is a bundle homomorphism, and an operator-valued boundary symbol. Ellipticity requires the invertibility of both. If the underlying manifold is compact, elliptic elements define Fredholm operators. Boutet de Monvel… CONTINUE READING

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