Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel

Date

2001-08-15

Author

Alpay, D
Kaptanoglu, HT

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

109
views

0
downloads

We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C-N to obtain information on the (1/(N + 1))st power of the Bergman kernel of the ball. This kernel has played recently an important and growing role in operator theory. We present several integral formulas for the Hilbert space generated by this kernel. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

URI

https://hdl.handle.net/11511/64752

Journal

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE

DOI

https://doi.org/10.1016/s0764-4442(01)02046-8

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Some finite-dimensional backward shift-invariant subspaces in the ball and a related factorization problem Alpay, D; Kaptanoglu, HT (2000-12-15) Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier...
Integral criteria for oscillation of third order nonlinear differential equations AKTAŞ, MUSTAFA FAHRİ; Tiryaki, Aydın; Zafer, Ağacık (Elsevier BV, 2009-12-15) In this paper we are concerned with the oscillation of third order nonlinear differential equations of the form
Topology of phi-convex domains in calibrated manifolds Ünal, İbrahim (2011-06-01) In [5], Harvey and Lawson showed that for any calibration phi there is an integer bound for the homotopy dimension of a strictly phi-convex domain and constructed a method to get these domains by using phi-free submanifolds. Here, we show how to get examples of phi-free submanifolds with different homotopy types for the quaternion calibration in H(n), associative calibration, and coassociative calibration in G(2) manifolds. Hence we give examples of strictly phi-convex domains with different homotopy types ...
Algebraic Nahm transform for parabolic Higgs bundles on P-1 Aker, Kursat; Szabo, Szilard (2014-01-01) We formulate the Nahm transform in the context of parabolic Higgs bundles on P-1 and extend its scope in completely algebraic terms. This transform requires parabolic Higgs bundles to satisfy an admissibility condition and allows Higgs fields to have poles of arbitrary order and arbitrary behavior. Our methods are constructive in nature and examples are provided. The extended Nahm transform is established as an algebraic duality between moduli spaces of parabolic Higgs bundles. The guiding principle behind ...
Some recurrence relations and their parallel evaluation using nested recurrent product form algorithm Kiper, Ayşe (Elsevier BV, 1989-12) Recurrence relations for the Fourier expansion of the Jacobian elliptic functions snm(u, k), cnm(u, k), dnm(u, k) with m⩾1 and those for the expansion of sinm(πx), cosm(πx) in powers of the Jacobian elliptic functions with m⩾1 are studied and their parallel evaluation is formulated using nested recurrent product form algorithm.

Citation Formats

D. Alpay and H. Kaptanoglu, “Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel,” COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, pp. 285–290, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64752.