# Complex Analysis and Operator Theory

Complex Analysis and Operator Theory > 2007 > 1 > 1 > 1-54

*W*called “

*L*

^{2}- regular”. In case

*W*is

*J*-inner, this class coincides with the class of “strongly regular

*J*-inner” matrix functions in the sense of Arov–Dym. We show that the class of

*L*

^{2}-regular matrix functions is exactly the class of transfer functions for a discrete-time dichotomous (possibly infinite-dimensional) input-state-output linear system...

Complex Analysis and Operator Theory > 2007 > 1 > 1 > 97-113

Complex Analysis and Operator Theory > 2007 > 1 > 1 > 115-141

*m*in a domain $${\mathcal{D}} \subset {\mathbb{R}}^{n}$$ . The boundary of $${\mathcal{D}}$$ is smooth outside a smooth manifold

*Y*of dimension 0 ≤

*q*<

*n*− 1, and $$\partial {\mathcal{D}}$$ bears edge type singularities along

*Y*. The Lopatinskii condition is assumed to be fulfilled on the smooth...

Complex Analysis and Operator Theory > 2007 > 1 > 1 > 55-95

*p*×

*q*Schur sequences...

Complex Analysis and Operator Theory > 2007 > 1 > 2 > 211-233

Complex Analysis and Operator Theory > 2007 > 1 > 2 > 169-210

Complex Analysis and Operator Theory > 2007 > 1 > 2 > 279-300

Complex Analysis and Operator Theory > 2007 > 1 > 2 > 235-278

Complex Analysis and Operator Theory > 2007 > 1 > 2 > 143-168

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 439-446

*f*satisfies $${\overline{f(\overline{z})}}...

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 367-398

*G*is a countable directed graphs with its vertex set

*V*(

*G*) and its edge set

*E*(

*G*), then we associate partial isometries to the edges in

*E*(

*G*) and projections to the vertices in

*V*(

*G*). We construct a corresponding von Neumann algebra ...

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 317-334

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 341-365

*h*–monogenic functions taking values in a complex Clifford algebra or in a complex spinor space. Monogenicity is expressed here by means of two complex mutually adjoint Dirac operators, which are invariant under the action of a Clifford realisation of the unitary group. In this contribution we present a deeper insight in the transition from the orthogonal setting...

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 423-438

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 399-422

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 301-305

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 335-339

*n*

_{1},

*n*

_{2}, . . . ,

*n*

_{ N }. We are interested in the existence of an analytic function $${X : \Omega \rightarrow {\mathbb{C}^{n}}}$$...

Complex Analysis and Operator Theory > 2007 > 1 > 3 > 447-456

Complex Analysis and Operator Theory > 2007 > 1 > 4 > 549-569