Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna–Pick reproducing kernel
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Publication:2748285
DOI10.1016/S0764-4442(01)02046-8zbMath0993.32005OpenAlexW1980641379MaRDI QIDQ2748285
H. Turgay Kaptanoğlu, Daniel Alpay
Publication date: 29 November 2001
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02046-8
(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
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Aspects of multivariable operator theory on weighted symmetric Fock spaces ⋮ Adaptative decomposition: the case of the Drury-Arveson space ⋮ Operator-valued Herglotz kernels and functions of positive real part on the ball ⋮ Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem ⋮ Besov spaces and Bergman projections on the ball ⋮ Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball ⋮ A Beurling-Lax type theorem in the unit ball
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