2007 | OriginalPaper | Chapter
Schmidt-Representation of Difference Quotient Operators
Authors : Michael Kaltenbäck, Harald Woracek
Published in: The Extended Field of Operator Theory
Publisher: Birkhäuser Basel
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We consider difference quotient operators in de Branges Hilbert spaces of entire functions. We give a description of the spectrum and a formula for the spectral subspaces. The question of completeness of the system of eigenvectors and generalized eigenvectors is discussed. For certain cases the
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-numbers and the Schmidt-representation of the operator under discussion is explicitly determined.