Harmonic approximation
Collection : London mathematical society lecture note series . 221 Publié par : Cambridge University Press (New York) Détails physiques : 132 p. 23 cm. ISBN :052149799X (paperback); 9780521497992 (paperback). Année : 1995Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
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Livre | La bibliothèque des Sciences Exactes et Naturelles | 515.785 GAR (Parcourir l'étagère) | Disponible | 0000000013335 |
Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. The author draws inspiration from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions (potential theory), or an interest in holomorphic approximation.
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