Author : Takahiro Kawai
Publisher : World Scientific
ISBN 13 : 9814487503
Total Pages : 340 pages
Book Rating : 4.8/5 (144 download)
Book Synopsis Microlocal Analysis and Complex Fourier Analysis by : Takahiro Kawai
Download or read book Microlocal Analysis and Complex Fourier Analysis written by Takahiro Kawai and published by World Scientific. This book was released on 2002-12-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference “Prospects of Generalized Functions” (in November, 2001 at RIMS, Kyoto). Reflecting the fact that the papers, except M Morimoto's one, are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto's works are. The historical backgrounds of the subjects are also discussed in depth in some contributions. Thus, this book should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions. Contents:Vanishing of Stokes Curves (T Aoki et al.)Parabolic Equations with Singularity on the Boundary (C P Arceo et al.)Residues: Analysis or Algebra? (C A Berenstein)Heat Equation via Generalized Functions (S-Y Chung)Bergman Transformation for Analytic Functionals on Some Balls (K Fujita)On Infra-Red Singularities Associated with QC Photons (T Kawai & H P Stapp)Hyperfunctions and Kernel Method (D Kim)The Effect of New Stokes Curves in the Exact Steepest Descent Method (T Koike & Y Takei)Boehmians on the Sphere and Zonal Spherical Functions (M Morimoto)On a Generalization of the Laurent Expansion (Y Saburi)Domains of Convergence of Laplace Series (J Siciak)The Reproducing Kernels of the Space of Harmonic Polynomials in the Case of Real Rank 1 (R Wada & Y Agaoka)and other papers Readership: Graduate students in analysis or differential geometry and specialists in generalized functions, differential equations, analytic functions and complex WKB analysis. Keywords: