Results 1 to 10 of about 452 (45)
Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]
, 2003 In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given by their kernels.
Hazi, Mohammed
core +1 more source
The Euler scheme for Feller processes [PDF]
, 2010 We consider the Euler scheme for stochastic differential equations with jumps, whose intensity might be infinite and the jump structure may depend on the position.
Böttcher, Björn, Schnurr, Alexander
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On the differentiable vectors for contragredient representations [PDF]
, 2013 We establish a few simple results on contragredient representations of Lie groups, with a view toward applications to the abstract characterization of some spaces of pseudo-differential operators.
Beltita, Daniel, Beltita, Ingrid
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Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces
Journal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010 We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
wiley +1 more source
Domains of pseudo‐differential operators: a case for the Triebel‐Lizorkin spaces
Journal of Function Spaces, Volume 3, Issue 3, Page 263-286, 2005., 2005 The main result is that every pseudo‐differential operator of type 1, 1 and order d is continuous from the Triebel‐Lizorkin space Fp,1d to Lp, 1 ≤ p≺∞, and that this is optimal within the Besov and Triebel‐Lizorkin scales. The proof also leads to the known continuity for s≻d, while for all real s the sufficiency of Hörmander′s condition on the twisted ...
Jon Johnsen, Victor Burenkov
wiley +1 more source
The pseudodifferential operator A(x, D)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 8, Page 407-419, 2004., 2004 The pseudodifferential operator (p.d.o.) A(x, D), associated with the Bessel operator d2/dx2 + (1 − 4μ2)/4x2, is defined. Symbol class Hρ,δm is introduced. It is shown that the p.d.o. associated with a symbol belonging to this class is a continuous linear mapping of the Zemanian space Hμ into itself. An integral representation of p.d.o.
R. S. Pathak, S. Pathak
wiley +1 more source
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]
, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
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Relativistic wave equations with fractional derivatives and pseudodifferential operators
Journal of Applied Mathematics, Volume 2, Issue 4, Page 163-197, 2002., 2002 We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n = 1 and 2 (Klein‐Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitrary n > 2 are nonlocal. We show the representation of the generalized
Petr Závada
wiley +1 more source
Global solutions of semilinear heat equations in Hilbert spaces
Abstract and Applied Analysis, Volume 1, Issue 3, Page 263-276, 1996., 1996 The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one‐parameter strongly continuous semigroups of bounded linear operators.
G. Mihai Iancu, M. W. Wong
wiley +1 more source
Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group [PDF]
, 2019 We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
A Grossmann +27 more
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