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We consider convolution type operators that carry a certain symmetry in their structure. The study is motivated by several applications in mathematical physics where this kind of operators appears.… (More)

A class of canonical wedge diffraction problems for Helmholtz equations was formulated by E. Meister in 1986 and subsequently treated by an operator theoretical approach in various publications of… (More)

A class of operators is investigated which results from certain boundary and transmission problems, the so-called Sommerfeld diffraction problems. In various cases these are of normal type but not… (More)

In this paper it is proved that Daniele' method for factorizing 2x2 matrix-valued functions yields a generalized canonical factorization for non-rational symbols in a certain subclass of [PC(R)]2x2,… (More)

A criterion for the Fredholmness of singular integral operators with Carleman shift in LP(Γ) is obtained, where Γ is either the unit circle or the real line. The approach allows to consider unbounded… (More)

Boundary-transmission problems for two-dimensional Helmholtz equations in a quadrant and its complement, respectively, are considered in a Sobolev space setting. The first problem of a quadrant with… (More)

Boundary-transmission problems for two-dimensional Helmholtz equations in a quadrant Q 1 and its complement Q c 1, respectively, are considered in a Sobolev space setting. The first problem of a… (More)

The boundary value problem for the Helmholtz equation in a quadrant with different Robin's or impedance-type conditions is considered by the use of variational methods and boundary pseudodifferential… (More)

Abstract.The main objective is the study of a class of boundary value problems in weak formulation where two boundary conditions are given on the half-lines bordering the first quadrant that contain… (More)