The trisecant identity and operator theory

被引：3

作者：

McCullough, S ^{[1
]}

机构：

[1] UNIV FLORIDA,DEPT MATH,GAINESVILLE,FL 32611

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1996年 / 25卷 / 01期

关键词：

D O I：

10.1007/BF01192045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：104 / 127

页数：24

共 50 条

[1] FAYS TRISECANT IDENTITY AND CONFORMAL FIELD-THEORY
RAINA, AK
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (04) : 625 - 641
[2] The trisecant conjecture
Gömez González E.
Mathematische Annalen, 1997, 307 (2) : 341 - 342
[3] Fay meets van der Pauw: the trisecant identity and the resistivity of holey samples
Miyoshi, Hiroyuki
Crowdy, Darren G.
Nelson, Rhodri
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 477 (2246):
[4] The trisecant conjecture
Gonzalez, EG
MATHEMATISCHE ANNALEN, 1996, 305 (01) : 153 - 159
[5] TRIPLE MASSEY PRODUCTS ON CURVES, FAY'S TRISECANT IDENTITY AND TANGENTS TO THE CANONICAL EMBEDDING
Polishchuk, A.
MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (01) : 105 - 121
[6] TROPICAL SPECTRAL CURVES, FAY'S TRISECANT IDENTITY, AND GENERALIZED ULTRADISCRETE TODA LATTICE
Inoue, Rei
Iwao, Shinsuke
NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS, 2011, : 101 - 116
[7] A Tropical Analogue of Fay’s Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice
Rei Inoue
Tomoyuki Takenawa
Communications in Mathematical Physics, 2009, 289 : 995 - 1021
[8] A Tropical Analogue of Fay's Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice
Inoue, Rei
Takenawa, Tomoyuki
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 995 - 1021
[9] Projective sets with no trisecant lines
Cossidente, Antonio
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2025,
[10] On an operator identity central to projection operator methodology
Lamb, W
Murdoch, I
Stewart, J
PHYSICA A, 2001, 298 (1-2): : 121 - 139

← 1 2 3 4 5 →