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E-grāmata: Microlocal Analysis And Complex Fourier Analysis

Edited by (Rims, Kyoto Univ, Japan), Edited by (Saga Univ, Japan)
  • Formāts: 340 pages
  • Izdošanas datums: 12-Dec-2002
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789814487504
  • Formāts - PDF+DRM
  • Cena: 55,23 €*
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  • Bibliotēkām
  • Formāts: 340 pages
  • Izdošanas datums: 12-Dec-2002
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789814487504

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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.
Preface v
Vanishing of Stokes Curves
1(22)
T. Aoki
T. Koike
Y. Takei
Parabolic Equations with Singularity on the Boundary
23(13)
C.P. Arceo
J.M.L. Escaner IV
M. Otani
P.W. Sy
Residues: Analysis or Algebra?
36(8)
C.A. Berenstein
Moment Conditions for Pompeiu Problem Extended to General Radial Surfaces
44(23)
D.C. Chang
W. Eby
Heat Equation via Generalized Functions
67(14)
S.-Y. Chung
Bergman Transformation for Analytic Functionals on Some Balls
81(18)
K. Fujita
Explicit Construction of Fourier Hyperfunctions Supported at Infinity
99(16)
A. Kaneko
On Infra-Red Singularities Associated with QC Photons
115(20)
T. Kawai
H.P. Stapp
On the Linear Hull of Exponentials in Cn and Applications to Convolution Equations
135(14)
L.H. Khoi
Hyperfunctions and Kernel Method
149(17)
D. Kim
Generalized Fourier Transformations: The Work of Bochner and Carleman Viewed in the Light of the Theories of Schwartz and Sato
166(20)
C.O. Kiselman
The Effect of New Stokes Curves in the Exact Steepest Descent Method
186(14)
T. Koike
Y. Takei
Fourier's Hyperfunctions and Heaviside's Pseudo-Differential Operators
200(15)
H. Komatsu
Geometric Aspects of Large Deviations for Random Walks on a Crystal Lattice
215(9)
M. Kotani
T. Sunada
Boehmians on the Sphere and Zonal Spherical Functions
224(14)
M. Morimoto
A New Lax Pair for the Sixth Painleve Equation Associated with so(8)
238(15)
M. Noumi
Y. Yamada
On a Generalization of the Laurent Expansion
253(8)
Y. Saburi
Domains of Convergence of Laplace Series
261(12)
J. Siciak
On the Singularites of Solutions of Nonlinear Partial Differential Equations in the Complex Domain
273(11)
H. Tahara
Exponential Polynomials and the Fourier-Borel Transforms of Algebraic Local Cohomology Classes
284(13)
S. Tajima
The Reproducing Kernels of the Space of Harmonic Polynomials in the Case of Real Rank 1
297(20)
R. Wada
Y. Agaoka
On the Lame Series Representation of Analytic Hyperfunctions on a Two-Dimensional Complex Manifold
317
A.I. Zayed