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Quadratic vector equations on complex upper half-plane /
The authors consider the nonlinear equation -\frac 1m=z+Sm with a parameter z in the complex upper half plane \mathbb H, where S is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values in \mathbb H is unique and its z-dependence is conveniently desc...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[2019].
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1261. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The authors consider the nonlinear equation -\frac 1m=z+Sm with a parameter z in the complex upper half plane \mathbb H, where S is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values in \mathbb H is unique and its z-dependence is conveniently described as the Stieltjes transforms of a family of measures v on \mathbb R. In a previous paper the authors qualitatively identified the possible singular behaviors of v: under suitable conditions on S we showed that in the density of v only algebraic singularities of degree two or three may occur. |
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| Notas: | "September 2019; Volume 261; number 1261 (fifth of 7 numbers)" -- cover. |
| Descripción Física: | 1 online resource (v, 133 pages ): illustrations. |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781470454142 1470454149 |