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BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
Manin triples and differential operators on quantum groups
Manin triples differential operators quantum groups
2011/1/18
Let (a,m, l) be a Manin triple, and let M, L be algebraic groups with Lie algebras m, l respectively. We point out that the product M×L carries a natural structure of Poisson manifold,whose Poisson te...
Rank of Projection-Algebraic Representations of Some Differential Operators
Rank of Projection-Algebraic Differential Operators
2010/11/22
The Lie-algebraic method approximates differential operators that are formal polynomials of {1,x,d/dx} by linear operators acting on a finite dimensional space of polynomials. In this paper we prove ...
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...
Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels
fully nonlinear integro-differential operators nonsymmetric positive kernels
2010/11/22
In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate correspondi...
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
2010/11/19
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
The algebra of integro-differential operators on an affine line and its modules
algebra integro-differential operators affine line
2010/11/19
For the algebra $\mI_1= K\langle x, \frac{d}{dx}, \int \rangle$ of polynomial integro-differential operators over a field $K$ of characteristic zero, a classification of simple modules is given. It i...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operato...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operator...
