The Nonself-Adjoint Schroedinger Operator. III

  • B. S. Pavlov
Part of the Topics in Mathematical Physics book series (TOMP, volume 3)


The present article contains a detailed derivation of some results previously summarized in a note by the author [1]. It is also a continuation of the article published in the second volume of the present series [2]. An example of a nonself-adjoint Schroedinger operator with a rapidly decreasing potential and an infinite number of eigenvalues was given in [2]. Here, we will show that the spectrum of the Schroedinger operator can have a very complicated structure. Namely, there exist operators of this type whose eigenvalues possess a continuum of accumulation points. These results have been formulated as Theorems I, II, and III.


Differential Operator Unit Circle Real Axis Spectral Function Auxiliary Function 
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Copyright information

© Consultants Bureau, New York 1969

Authors and Affiliations

  • B. S. Pavlov

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