Modern Trends in Pseudo-Differential Operators

2007

Toft, Joachim (EDT)/ Wong, M. W. (EDT)/ Zhu, Hongm 저자(글)

Birkhauser · 2007년 01월 22일

책 소개

The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Universit di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Topics include partial differential equations, global analysis, geometry, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics and timefrequency analysis. The articles will be of interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. This collection of essays and research articles under the banner of IGPDO is a valuable complement to the volumes "Advances in Pseudo-Differential Operators" and "Pseudo-Differential Operators and Related Topics" published in the same series in 2004 and 2006, respectively.

작가정보

저자(글) Toft, Joachim (EDT)/ Wong, M. W. (EDT)/ Zhu, Hongm

목차

• The quantization of edge symbols	p. 1
  On rays of minimal growth for elliptic cone operators	p. 33
  Symbolic calculus of pseudo-differential operators and curvature of manifolds	p. 51
  Weyl transforms, heat kernels, green functions and Riemann zeta functions on compact Lie groups	p. 67
  On the fourier analysis of operators on the torus	p. 87
  Wave kernels of the twisted Laplacian	p. 107
  Super-exponential decay of solutions to differential equations in R[superscript d]	p. 117
  Gevrey local solvability for degenerate parabolic operators of higher order	p. 135
  A new aspect of the L[superscript p] extension problem for inhomogeneous differential equations	p. 153
  Continuity in quasi-homogeneous Sobolev spaces for pseudo-differential operators with Besov symbols	p. 161
  Continuity and Schatten properties for pseudo-differential operators on modulation spaces	p. 173
  Algebras of pseudo-differential operators with discontinuous symbols	p. 207
  A class of quadratic time-frequency representations based on the short-time fourier transform	p. 235
  A characterization of Stockwell spectra	p. 251
  Exact and numerical inversion of pseudo-differential operators and applications to signal processing	p. 259
  On the product of localization operators	p. 279
  Gelfand-Shilov spaces, pseudo-differential operators and localization operators	p. 297
  Continuity and Schatten properties for Toeplitz operators on modulation spaces	p. 313
  Microlocalization within some classes of fourier hyperfunctions	p. 329
  Table of Contents provided by Blackwell. All Rights Reserved.

기본정보

ISBN	9783764380977 ( 3764380977 )
발행(출시)일자	2007년 01월 22일
쪽수	344쪽
크기	170 * 244 * 21 mm / 766 g
총권수	1권
언어	영어