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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/932| The discrete Szëgo kernel | |
| LAZARO RAUL FELIPE PARADA | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Funciones Discretas | |
| Of concern on this paper are complex-valued functions defined on the integer lattice (i.e. the set Z £ iZ) which are discrete analytic according to the definition given by Ferrand. In particular, we will study a Hilbert space consisting of the boundary values of discrete analytic functions defined on a finite simply connected union of unit squares of the integer lattice (a simple region), which is a discrete version of the Sze¨go space. We will prove that this space admits a reproducing kernel, the discrete Sze¨go kernel and will develop a general method to construct it. To sum up, the main merit of this paper is to present by means of an orthogonal projection operator a way to select among boundary values, those that can be extended to an analytic continuation. | |
| Taylor & Francis | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| VARIEDADES COMPLEJAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
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