A Banach Algebra Version of the Sato Grassmannian and Commutative Rings of Differential Operators

2006 ◽  
Vol 92 (3) ◽  
pp. 241-267 ◽  
Author(s):  
Maurice J. Dupré ◽  
James F. Glazebrook ◽  
Emma Previato
Keyword(s):  
Banach Algebra ◽  
Differential Operators ◽  
Commutative Rings ◽  
Sato Grassmannian ◽  
Rings Of Differential Operators

scholarly journals TRIGONOMETRIC DARBOUX TRANSFORMATIONS AND CALOGERO–MOSER MATRICES

2009 ◽  
Vol 51 (A) ◽  
pp. 95-106 ◽  
Author(s):  
LUC HAINE ◽  
EMIL HOROZOV ◽  
PLAMEN ILIEV
Keyword(s):  
Differential Operators ◽  
Rational Functions ◽  
Commutative Rings ◽  
Darboux Transformations ◽  
Rings Of Differential Operators

AbstractWe characterize in terms of Darboux transformations the spaces in the Segal–Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficients which are rational functions of ex. The resulting subgrassmannian is parametrized in terms of trigonometric Calogero–Moser matrices.

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