Results 41 to 50 of about 1,062,474 (215)
Some algebraic properties of differential operators
, 2012 First, we study the subskewfield of rational pseudodifferential operators over a differential field K generated in the skewfield of pseudodifferential operators over K by the subalgebra of all differential operators. Second, we show that the Dieudonne'
Alberto De Sole +7 more
core +1 more source
Hypo-Analytic Pseudodifferential Operators [PDF]
Proceedings of the American Mathematical Society, 1989 Let Ω \Omega be a hypo-analytic manifold of dimension m m equipped with a hypo-analytic structure whose structure bundle T ′ T’ has dimension m m . This paper introduces hypo-analytic pseudodifferential operators and it is shown that such operators preserve the ...
openaire +1 more source
Lie Subalgebras of the Matrix Quantum Pseudodifferential Operators
Advances in Mathematical Physics, 2016 We give a complete description of the anti-involutions that preserve the principal gradation of the algebra of matrix quantum pseudodifferential operators and we describe the Lie subalgebras of their minus fixed points.
Karina Batistelli, Carina Boyallian
doaj +1 more source
Conormal distributions in the Shubin calculus of pseudodifferential operators [PDF]
, 2017 We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of a Fourier-Bros-Iagolnitzer transform. Based on this, we introduce as a generalization a new class of tempered distributions called Shubin conormal ...
M. Cappiello, R. Schulz, P. Wahlberg
semanticscholar +1 more source
On a Class of Bilinear Pseudodifferential Operators
Journal of Function Spaces and Applications, 2013 We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS1,δ0, 0 ...
Árpád Bényi, Tadahiro Oh
doaj +1 more source
Control of pseudodifferential operators by maximal functions via weighted inequalities [PDF]
Transactions of the American Mathematical Society, 2016 We establish general weighted L 2 L^2 inequalities for pseudodifferential operators associated to the Hörmander symbol classes S ρ , δ m S^m_{\rho ,\delta } .
David Beltran
semanticscholar +1 more source
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators [PDF]
, 2016 This article treats boundary value problems for the fractional Laplacian , a > 0, and more generally for classical pseudodifferential operators (ψdo’s) P of order 2a with even symbol, applied to functions on a smooth subset Ω of .
G. Grubb
semanticscholar +1 more source
Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
wiley +1 more source
Kipriyanov-Katrakhov singular pseudodifferential operators
Современная математика: Фундаментальные направленияSingular pseudodifferential operators created on the base of the mixed Fourier–Bessel transform are usually called Kipriyanov singular pseudodifferential operators (SPDO). The paper provides an overview of three types of such operators.
L. N. Lyakhov +2 more
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Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source