Results 41 to 50 of about 3,726,319 (376)

Cohomology ring of differential operator rings [PDF]

open access: yes, 2010
We compute the multiplicative structure in the Hocshchild cohomology ring of a differential operators ring and the cap product of Hochschild cohomology on the Hochschild homology.Comment: 20 ...
Carboni, Graciela   +2 more
core   +2 more sources

A Characterization of Differential Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators.
openaire   +2 more sources

The level of pairs of polynomials [PDF]

open access: yes, 2019
Given a polynomial $f$ with coefficients in a field of prime characteristic $p$, it is known that there exists a differential operator that raises $1/f$ to its $p$th power. We first discuss a relation between the `level' of this differential operator and
Boix, Alberto F.   +2 more
core   +2 more sources

Operator differentiable functions [PDF]

open access: yesIntegral Equations and Operator Theory, 1990
A scalar functionf is called opertor differentiable if its extension via spectral theory to the self-adjoint members of $$\mathfrak{B}$$ (H) is differentiable.
Jonathan Arazy   +8 more
openaire   +2 more sources

On the equivalence of differential operators of infinite order with constant coefficients [PDF]

open access: yesMathematica Bohemica, 2017
We investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions.
Yuriy Linchuk
doaj   +1 more source

A differential operator for integrating one-loop scattering equations [PDF]

open access: yes, 2016
A bstractWe propose a differential operator for computing the residues associated with a class of meromorphic n-forms that frequently appear in the Cachazo-He-Yuan form of the scattering amplitudes.
Tianheng Wang   +3 more
semanticscholar   +1 more source

The constrained modified KP hierarchy and the generalized Miura transformations

open access: yes, 1997
In this letter, we consider the second Hamiltonian structure of the constrained modified KP hierarchy. After mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets
Bonora L   +16 more
core   +1 more source

On a fractional differential equation with infinitely many solutions [PDF]

open access: yes, 2012
We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru   +2 more
core   +2 more sources

Conformal conserved currents in embedding space

open access: yesJournal of High Energy Physics, 2022
We study conformal conserved currents in arbitrary irreducible representations of the Lorentz group using the embedding space formalism. With the help of the operator product expansion, we first show that conservation conditions can be fully investigated
Jean-François Fortin   +3 more
doaj   +1 more source

Explicit characterization of some commuting differential operators of rank 2

open access: yes, 2016
In this paper we consider differential opeartor L=d^4_x + u(x). We find the commutativity condition for operator L with a differential operator M of order 4g+2, where L and M are operators of rank 2. Some examples are constructed.
Oganesyan, Vardan
core   +1 more source

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