Pick interpolation and hilbert function spaces
Auteur :
Agler, Jim / McCarthy, John E.
Éditeur :
American Mathematical Society
ISBN :
9781470468552
Date de publication :
1 janv. 2002
Langue :
Anglais
Pays d'origine :
USA
Rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^\infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^\infty$ as the multiplier algebra of the Hardy space.