Pick Interpolation and Hilbert Function Spaces

Portada
American Mathematical Society, 2002 - 308 páginas
This text first 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 and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces.

Otras ediciones - Ver todas

Información bibliográfica