Results 1 to 10 of about 27,867 (199)

Pseudo-Differential Operators Associated with the Jacobi Differential Operator

open access: yesJournal of Mathematical Analysis and Applications, 1998
The authors consider pseudo-differential operators on \((0,+\infty)\), defined in terms of the Fourier-Jacobi transform: \[ (Ff)(\xi)=\widehat f(\xi)=\int^\infty_0\varphi_\xi(x)f(x)dm(x) \] where \(\varphi_\xi(x)\) is the Jacobi function and \(dm(x)\) the associated measure. Precisely, for a suitable class of symbols \(p(x,\xi)\), one sets \[ p(x,D)f(x)
Ben Salem, N., Dachraoui, A.
openaire   +1 more source

Boolean Differential Operators

open access: yes, 2012
We consider four combinatorial interpretations for the algebra of Boolean differential operators. We show that each interpretation yields an explicit matrix representation for Boolean differential operators.
Catumba, Jorge, Díaz, Rafael
openaire   +3 more sources

Fiberwise linear differential operators [PDF]

open access: yesForum Mathematicum, 2021
Abstract We define a new notion of fiberwise linear differential operator on the total space of a vector bundle E. Our main result is that fiberwise linear differential operators on E are equivalent to (polynomial) derivations of an appropriate line bundle over
Fabrizio Pugliese   +2 more
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Operator Differentiable Functions

open access: yesPublications of the Research Institute for Mathematical Sciences, 2000
We study the Banach {}^* -algebra C^1_{\mathrm{op}}(I) of C^1 -functions on the ...
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Commutative partial differential operators [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2001
In one variable, there exists a satisfactory classification of commutative rings of differential operators. In several variables, even the simplest generalizations seem to be unknown and in this report we give examples and pose questions that may suggest a theory to be developed.
Kasman, Alex, Previato, Emma
openaire   +2 more sources

Adjoint linear differential operators [PDF]

open access: yesTransactions of the American Mathematical Society, 1957
with coefficients p;,(x) belonging to V, the class of complex-valued (Lebesgue) integrable functions of the real variable x on the compact interval ab: a ?1 the subclasses of functions f(x) of Ck, 2fk and fk;2 such that f(a)(a)= 0=f(a)(b), (a =O, 1, * * *, k-1), will be denoted by 0, W', and Wk;2, respectively. In order to avoid supplementary comments
openaire   +2 more sources

Differentiated Bernstein type operators

open access: yesDolomites Research Notes on Approximation, 2020
1. The second author has been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 1002 -Project 119F191 and the third author would like to thank to TUBITAK for their financial supports during his PhD studies.
Aral, Ali, Acar, Tuncer, Ozsarac, Firat
openaire   +4 more sources

Parabolic opers and differential operators

open access: yesJournal of Geometry and Physics, 2023
Parabolic SL(r,C)-opers were defined and investigated in [BDP] in the set-up of vector bundles on curves with a parabolic structure over a divisor. Here we introduce and study holomorphic differential operators between parabolic vector bundles over curves.
Biswas, Indranil   +4 more
openaire   +3 more sources

Stieltjes Differential-Boundary Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The differential-boundary system S: Ly = (y + H(t)[Cy(O) + Dy(l)] + H(t)w)' + P(t)y. Ay(O) + By(1) + dK(t)y(t) = 0, dKi(t)y(t) = 0, is discussed when set in the space Y1[0, 1]. The density of the domain of L is discussed, and the adjoint or dual operator is derived. A discussion of selfadjoint systems follows. Necessary and sufficient conditions for T=(
openaire   +1 more source

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