Decay of the Fourier transform of surfaces with vanishing curvature

Mathematische Zeitschrift

Volumn 257, Issue 2, 2007, Pages 261-294

  Erdos, László ^a   Salmhofer, Manfred ^b,c  

^a UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^c UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547398095     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-007-0125-4     Document Type: Article

References (13)

1. Anderson P. (1958). Absences of diffusion in certain random lattices. Phys. Rev. 109: 1492-1505
2. Bruna J., Nagel A. and Wainger S. (1988). Convex hypersurfaces and Fourier transform. Ann. Math. 127: 333-365
3. Chen, T.: Localization lengths and Boltzmann limit for the Anderson model at small disorders in dimension 3. http://xxx.lanl.gov/abs/math-ph/0305051
4. Erdos, L., Salmhofer, M., Yau, H.-T.: Towards the quantum Brownian motion. To appear in the QMath-9 Conference Proceedings, Giens (2004). http://xxx.lanl.gov/abs/math-ph/0503001
5. Erdos, L., Salmhofer, M., Yau, H.-T.: Quantum diffusion of the random Schrödinger evolution in the scaling limit. Submitted to Acta Math. (2006). http://xxx.lanl.gov/abs/math-ph/0512014
6. Erdos, L., Salmhofer, M., Yau, H.-T.: Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams. To appear in Commun. Math. Phys. http://xxx.lanl.gov/abs/math-ph/0512015
7. Erdos, L., Salmhofer, M., Yau, H.-T.: Quantum diffusion for the Anderson model in the scaling limit. Submitted to Annales Henri Poincaré (2006). http://xxx.lanl.gov/abs/math-ph/0502025
8. Greenleaf A. (1981). Principal curvature in harmonic analysis. Indiana U. Math. J. 30: 519-537
9. 2 restriction theorem and scaling. Boll. Unione. Mat. Ital. Sez. B Artic. Ric. Mat. (8) 2(2): 383-387
10. Morii, K.: A Fourier restriction theorem for hypersurfaces which are graphs of certain real polynomials. Preprint (2005). http://xxx.lanl.gov/abs/ math.AP/0504451
11. n Proc. Am. Math. Soc. 132(4): 1195-1199
12. n Invent. Math. 82(3): 543-556
13. Stein E. (1993). Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals. Princeton University Press, Princeton