Shining a Hilbertian lamp on the bidisk
نویسنده
چکیده
1 Lecture 1: Model Theory seca The basic idea behind model theory is to associate a Hilbert space construction with a function, and then use Hilbert space theory to illuminate the function theory. In one variable, one approach is to study the de Branges-Rovnyak space associated with a function φ in the ball of H(D). This is the Hilbert space of analytic functions on the disk D with reproducing kernel 1− φ(λ)φ(ζ) 1− λ̄ζ . (1.1) eq11
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