Références
- Colzani , L. and Vignati , M. 1995 . The Gibbs Phenomenon for Multiple Fourier Integrals . J. Approximation Theory , 80 ( 1 ) : 39 – 79 .
- Pinsky , M. and Taylor , M. 1997 . Pointwise Fourier Inversion: A Wave Equation Approach . J. Fourier Anal. and Appl. , 3 ( 6 ) : 647 – 703 .
- Brandolini , L. and Colzani , L. 1999 . Localization and Convergence of Eigenfunction Expansions . J. Fourier Anal. and Appl. , 5 ( 5 ) : 431 – 447 .
- Taylor , M. 1999 . Pointwise Fourier Inversion on Tori and Other Compact Manifolds . J. Fourier Anal. and Appl. , 5 ( 5 ) : 449 – 463 .
- Pinsky , M. 1994 . Pointwise Fourier Inversion and Related Eigenfunction Expansions . Comm. Pure Appl. Math. , 47 ( 5 ) : 653 – 681 .
- Hörmander , L. 1968 . The Spectral Function of an Elliptic Operator . Acta Math. , 121 ( 3–4 ) : 193 – 218 .
- Brandolini , L. and Colzani , L. Decay of Fourier Transforms and Summability of Eigenfunction Expansions . Preprint, 1999
- Taylor , M. Eigenfunction Expansions and the Pinsky Phenomenon on Compact Manifolds . J. Fourier Anal. and Appl. , in press.
- Sogge , C. 1988 . Concerning theLp Norm of Spectral Clusters for Second Order Elliptic Differential Operators on Compact Manifolds . J. Funct. Anal. , 77 ( 1 ) : 123 – 134 .
- Taylor , M. 1981 . Pseudodifferential Operators Princeton, New Jersey : Princeton Univ. Press .
- Taylor , M. 1996 . Partial Differential Equations Vols. 1–3 , New York : Springer-Verlag .
- Hörmander , L. 1997 . Pseudodifferential Operators and Hypoelliptic Equations . Proc. Symp. Pure Math. , 10 ( 1 ) : 138 – 183 .
- Hörmander , L. 1985 . The Analysis of Linear Partial Differential Equations Vol. 4 , New York : Springer-Verlag .
- Diustermaat , J. and Guillemin , V. 1975 . The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics . Invent. Math. , 29 ( 1 ) : 39 – 79 .
- Colin de Verdière , Y. 1979 . Sur le Spectre des Opérateurs Elliptiques à Bicharacteristiques Toutes Périodiques . Comment. Math. Helv. , 54 ( 3 ) : 508 – 522 .
- Weinstein , A. 1977 . Asymptotics of Eigenvalue Clusters for the Laplacian Plus a Potential . Duke Math. J. , 44 ( 4 ) : 883 – 892 .
- Guillemin , V. 1978 . Some Spectral Results for the Laplace Operator with Potential on the n-Sphere . Adv. in Math. , 27 ( 3 ) : 273 – 286 .
- Rauch , J. and Taylor , M. 1975 . Decay of Solutions to Nondissipative Hyperbolic Equations on Compact Domains . Comm. Pure Appl. Math. , 28 ( 5 ) : 457 – 478 .
- Kuratsubo , S. 1996 . On Pointwise Convergence of Fourier Series of the Indicator Function of n Dimensional Ball . Sci. Report Hirosaki , 43 ( 2 ) : 199 – 208 .