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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 12
  3. Journal of Fourier Analysis and Applications : Volume 12, Issue 5, October 2006
  4. Spectral Estimates for Degenerate Critical Levels
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 12, Issue 6, December 2006
Journal of Fourier Analysis and Applications : Volume 12, Issue 5, October 2006
On Fuglede's Conjecture and the Existence of Universal Spectra
Spectral Estimates for Degenerate Critical Levels
Hypoelliptic Dunkl Convolution Equations in the Space of Distributions on ${\Bbb R}^d$
Continuous Wavelets and Frames on Stratified Lie Groups I
Algebra of Calderón-Zygmund Operators Associated to Para-Accretive Functions
Divergence of Spherical General Terms of Double Fourier Series
Journal of Fourier Analysis and Applications : Volume 12, Issue 4, August 2006
Journal of Fourier Analysis and Applications : Volume 12, Issue 3, June 2006
Journal of Fourier Analysis and Applications : Volume 12, Issue 2, April 2006
Journal of Fourier Analysis and Applications : Volume 12, Issue 1, February 2006
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Spectral Estimates for Degenerate Critical Levels

Content Provider SpringerLink
Author Camus, Brice
Copyright Year 2006
Abstract We establish spectral estimates at a critical energy level for h-pseudo-differential operators. Via a trace formula, we compute the contribution of isolated (nonextremum) critical points under a condition of "real principal type." The main result holds for all dimensions, for a singularity of any finite order and can be invariantly expressed in terms of the geometry of the singularity. When the singularities are not integrable on the energy surface the results are significative since the order w.r.t. h of the spectral distributions are bigger than in the regular setting.
Starting Page 495
Ending Page 515
Page Count 21
File Format PDF
ISSN 10695869
Journal Journal of Fourier Analysis and Applications
Volume Number 12
Issue Number 5
e-ISSN 15315851
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-09-15
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Abstract Harmonic Analysis Approximations and Expansions Fourier Analysis Partial Differential Equations Applications of Mathematics Signal, Image and Speech Processing
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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