Results 11 to 20 of about 1,931 (172)

Pseudodifferential Operators Associated with a Semigroup of Operators [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2013
20 ...
Frédéric Bernicot   +2 more
exaly   +6 more sources

Pseudodifferential operators and Hecke operators

open access: yesApplied Mathematics Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choie, Y.-J.
exaly   +5 more sources

Semielliptic Pseudodifferential Operators

open access: yesJournal of Functional Analysis, 1995
On étudie la régularité des solutions des problèmes aux limites associés à un opérateur pseudo-différentiel semi-elliptique de la forme \[ P = D^\mu_t + \sum_{1 \leq j \leq \mu} p_j (x,t,D_x) D_t^{\mu - j}, \] \(t \in [0,T)\), \(x \in \omega\) ouvert de \(\mathbb{R}^n\), où \(p_j (x, t,D_x)\) est un opérateur pseudo-différentiel en \(x\), de closse \({\
Artino, R.A., Barrosneto, J.
openaire   +3 more sources

Pseudodifferential Operators

open access: yes
Pseudodifferential operators are a generalisation of partial differential operatorsvia Fourier transforms. In this thesis, we first introduce the pseudodifferential operatorsassociated with the classical Kohn-Nirenberg symbols. Some of their importantproperties are proven thereafter, including asymptotic expansion, composition, adjointsand parametrices
Hollifeldt, Robin
core   +5 more sources

Classes of spatially inhomogeneous pseudodifferential operators. [PDF]

open access: yesProc Natl Acad Sci U S A, 1973
One can obtain sharp information on a pseudodifferential operator p (x,D) by embedding the symbol p in a symbolic calculus specially designed to reflect the behavior of p . We sketch the development of symbolic calculi arising in this connection, and use our results to
Beals R, Fefferman C.
europepmc   +5 more sources

Pseudodifferential Operators on Modulation Spaces

open access: yesJournal of Mathematical Analysis and Applications, 2001
Pseudodifferential operators on modulation spaces are considered. The author gives a fundamental connection between certain classes of pseudodifferential operators and Hille-Tamarkin operators. As an application, compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces is studied.
Labate, Demetrio
openaire   +2 more sources

Pseudodifferential operators with homogeneous symbols.

open access: yesMichigan Mathematical Journal, 1999
The authors define homogeneous symbols as symbols \(a(x,\xi)\) in \(C^\infty(\mathbb{R}^n\times (\mathbb{R}^n/0))\) satisfying \[ |D^\alpha_x D^\beta_\xi a(x,\xi)|\leq C_{\alpha\beta}|\xi|^{m- |\beta|+|\alpha|} \] for all \(\alpha\), \(\beta\), with constants \(C_{\alpha\beta}\) independent of \(x\in\mathbb{R}^n\), \(\xi\in \mathbb{R}^n/0\).
Grafakos, Loukas, Torres, Rodolfo H.
openaire   +3 more sources

Magnetic Pseudodifferential Operators

open access: yesPublications of the Research Institute for Mathematical Sciences, 2007
In previous papers, a generalization of the Weyl calculus was introduced in connection with the quantization of a particle moving in ℝ^n under the influence of a variable magnetic field B
Viorel Iftimie   +2 more
openaire   +4 more sources

Pseudodifferential operators with completely periodic symbols

open access: yes, 2023
Motivated by the recent paper of Boggiatto-Garello (J Pseudo-Differ Oper Appl 11:93-117, 2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p(x, \omega) periodic on both the variables, we study the continuity and ...
Morando A., Garello G.
core   +1 more source

Extrapolation of compactness for certain pseudodifferential operators

open access: yes, 2023
A recently developed extrapolation of compactness on weighted Lebesgue spaces is revisited and a new application to a class of compact pseudodifferential operators is presented.Ministerio de Ciencia, Innovación y Universidades (España)Agencia Estatal de ...
Soria de Diego, Francisco Javier   +6 more
core   +1 more source

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