The trisecant identity and operator theory
type: Item
instance of: scholarly article
title: The trisecant identity and operator theory
zbMATH Open document ID: 0859.32014
DOI: 10.1007/BF01192045
author: Scott McCullough
published in: Integral Equations and Operator Theory
publication date: 1996-10-22T00:00:00Z
review text: The author's summary: ``For the special case of a Riemann surface which arises as the double of a planar domain \(R\), the trisecant identity has a natural interpretation as a relation among reproducing kernels for subspaces of the Hardy space \(H^2(R)\). This relation and Riemann's theorem on the vanishing of the theta function is applied to Nevanlinna-Pick interpolation on \(R\)''.
reviewed by: Zhuan Ye
Mathematics Subject Classification ID: 32H30
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 920804
zbMATH Keywords: Riemann surface
zbMATH Keywords: Hardy space
zbMATH Keywords: Nevanlinna-Pick interpolation
MaRDI profile type: Publication
cites work: The Pick interpolation theorem for finitely connected domains
cites work: A class of subnormal operators related to multiply-connected domains
cites work: Q3874793
cites work: Reproducing kernels for Hardy spaces on multiply connected domains
cites work: Q5800023
cites work: Theta functions on Riemann surfaces
cites work: Q1838549
cites work: Q5815016
cites work: Generalized Interpolation in H ∞
cites work: On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
cites work: Extremal polynomials associated with a system of curves in the complex plane
full work available at URL: https://doi.org/10.1007/bf01192045
OpenAlex ID: W2052492232
description: scientific article; zbMATH DE number 920804