Quadrature Domains and Their Applications The Harold S. Shapiro Anniversary Volume /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Ebenfelt, Peter (Επιμελητής έκδοσης), Gustafsson, Björn (Επιμελητής έκδοσης), Khavinson, Dmitry (Επιμελητής έκδοσης), Putinar, Mihai (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Σειρά: Operator Theory: Advances and Applications ; 156
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Operator theory.; Numerical analysis.; Physics.; Analysis.; Operator Theory.; Numerical Analysis.; Mathematical Methods in Physics.; Theoretical, Mathematical and Computational Physics.
• Φυσική περιγραφή: XXVIII, 278 p. online resource.
• ISBN: 9783764373160

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.