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On rings of commuting partial differential operators
partial differential operators Algebraic Geometry
2011/7/27
Abstract: We give a natural generalization of the classification of commutative rings of ordinary differential operators, given in works of Krichever, Mumford, Mulase, and determine commutative rings ...
Krall-Jacobi commutative algebras of partial differential operators
Krall-Jacobi commutative algebras partial differential operators
2010/11/18
We construct a large family of commutative algebras of partial differential operators invariant under rotations. These algebras are isomorphic extensions of the algebras of ordinary differential oper...
A new solvable algebra of partial differential operators with variable coefficients on H \times R^*_+
Differential Operators with Variable Coefficients Group G4
2010/9/17
A new solvable algebra of partial differential operators with variable coefficients on H \times R^*_+.
Factoring Zero-dimensional Ideals of Linear Partial Differential Operators
Factoring Zero-dimensional Ideals Linear Partial Differential Operators
2013/9/3
We present an algorithm for factoring a zero-dimensional left ideal in the ring Q(x; y)[@x; @y ], i.e. factoring a linear homogeneous partial di erential system whose coecients belong to Q(x; y), and...