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Factoring formal power series over principal ideal domains
power series principal ideal domains Commutative Algebra
2011/9/20
Abstract: We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain $R[[X]]$, where $R$ is any principal ideal do...
Factoring Sobolev inequalities through classes of functions
Sobolev inequality sharp constants affine isoperimetric inequalities
2011/9/1
Abstract: We recall two approaches to recent improvements of the classical Sobolev inequality. The first one follows the point of view of Real Analysis, while the second one relies on tools from Conve...
Factoring systems of linear PDEs with finite-dimensional solution spaces
Factoring systems linear PDEs with finite-dimensional solution spaces
2013/9/3
AD-finite system is a finite set of linear homogeneous partial differential equations in several independent and dependent variables, whose solution space is of finite dimension. Let Lbe a D-finite sy...
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...