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Conditions for Dissipative Symmetric Linear Differential Operators *
"... This paper is concerned with the linear differential operator m a j1 ax5 L = 2 A i + B, ..."
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This paper is concerned with the linear differential operator m a j1 ax5 L = 2 A i + B,
LINEAR DIFFERENTIAL OPERATORS ON CONTACT MANIFOLDS
"... Abstract. We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus: noncommutative symbolic calculus, the principal symbol, and the contact order to such differential oper ..."
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Cited by 2 (2 self)
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operators. Our first main result is an intrinsically defined “subsymbol ” of a differential operator, which is a differential invariant of degree one lower than that of the principal symbol. In particular, this subsymbol associates a contact vector field to an arbitrary second order linear differential
Classification of linear differential operators with an invariant subspace
 University of Twente
, 1993
"... Abstract. A complete classification of linear differential operators possessing finitedimensional invariant subspace with a basis of monomials is presented. 1. ..."
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Cited by 14 (2 self)
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Abstract. A complete classification of linear differential operators possessing finitedimensional invariant subspace with a basis of monomials is presented. 1.
Quasioptimal multiplication of linear differential operators
 IEEE 53RD ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE
, 2012
"... We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasioptimal time. This answers an open question raised by van der Hoeven. ..."
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We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasioptimal time. This answers an open question raised by van der Hoeven.
Linear Differential Operators for Polynomial Equations
"... Given a squarefree polynomial P 2 k 0 [x; y], k 0 a number eld, we construct a linear dierential operator that allows one to calculate the genus of the complex curve dened by P = 0 (when P is absolutely irreducible), the absolute factorization of P over the algebraic closure of k 0 , and calculate i ..."
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Cited by 20 (5 self)
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Given a squarefree polynomial P 2 k 0 [x; y], k 0 a number eld, we construct a linear dierential operator that allows one to calculate the genus of the complex curve dened by P = 0 (when P is absolutely irreducible), the absolute factorization of P over the algebraic closure of k 0 , and calculate
Continuous division of linear differential operators and faithful
 flatness of D ∞ X over DX. In [17
"... Abstract. — In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf of finite order linear differential operators on a complex analytic manifold. We give the MebkhoutNarváez’s proof based on the continuity of the division of finite ..."
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Abstract. — In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf of finite order linear differential operators on a complex analytic manifold. We give the MebkhoutNarváez’s proof based on the continuity of the division of finite
Invertible Linear Differential Operators on TwoDimensional Manifolds
"... . In case of two independent variables invertible linear differential operators structure is described. It is proved that a twosided invertible operator can be written as a composition of triangular invertible operators in the stable sense. The form to which a leftinvertible operator can be reduce ..."
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. In case of two independent variables invertible linear differential operators structure is described. It is proved that a twosided invertible operator can be written as a composition of triangular invertible operators in the stable sense. The form to which a leftinvertible operator can
Weyl Closure of a Linear Differential Operator
 J. SYMBOLIC COMPUT
, 2000
"... We study the Weyl closure Cl(L ) = K(x)h@iL " D for an operator L of the first Weyl ..."
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Cited by 12 (1 self)
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We study the Weyl closure Cl(L ) = K(x)h@iL " D for an operator L of the first Weyl
Factorization of Linear Differential Operators in Exponential Extensions
 In Proc. of ISSAC03
, 2003
"... We present here an algorithm for an ecient computation of factorizations of linear dierential operators with power series coecients in an exponential extension of a base eld. This algorithm is based on the results presented by Mark van Hoeij on factorization of linear dierential operators with coec ..."
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We present here an algorithm for an ecient computation of factorizations of linear dierential operators with power series coecients in an exponential extension of a base eld. This algorithm is based on the results presented by Mark van Hoeij on factorization of linear dierential operators
Results 1  10
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55,459