Spectral Theory of Herglotz Functions and Their Compositions
| Autor: | D. B. Pearson, Y. T. Christodoulides |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Spectral theory Representation theorem Mathematical analysis Mathematics::Spectral Theory Composition (combinatorics) Differential operator Boundary values Distribution (mathematics) Spectral analysis Geometry and Topology Representation (mathematics) Mathematical Physics Mathematics |
| Zdroj: | Mathematical Physics, Analysis and Geometry. 7:333-345 |
| ISSN: | 1572-9656 1385-0172 |
| Popis: | Recent developments in the theory of value distribution for boundary values of Herglotz functions [5], with applications to the spectral analysis of Herglotz measures and differential operators [2, 3] lead in a natural way to the investigation of measures which relate (through the Herglotz representation theorem) to the composition of a pair of Herglotz functions F,G. The present paper provides results on the boundary values of composed Herglotz functions and on the terms of their Herglotz representation which are dominant at large |z|. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink