| Description |
1 online resource |
| Physical Medium |
polychrome |
| Description |
text file |
| Note |
"Some articles in this volume were read at the conference "Prospects of Generalized Functions", held from November 27 through November 30, 2001, at Research Institute for Mathematical Sciences, Kyoto University"--Page v. |
| Bibliography |
Includes bibliographical references. |
| Summary |
A collection of 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" (held in November 2001 at RIMS, Kyoto). Reflecting the fact that the papers 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 in some of the papers are also discussed in depth. Thus, the volume 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, T. Koike and Y. Takei -- Parabolic equations with singularity on the boundary / C.P. Arceo [and others] -- Residues: analysis or algebra? / C.A. Berenstein -- Moment conditions for Pompeiu problem extended to general radial surfaces / D.C. Chang and W. Eby -- Heat equation via generalized functions / S.-Y. Chung -- Bergman transformation for analytic functionals on some balls / K. Fujita -- Explicit construction of Fourier hyperfunctions supported at infinity / A. Kaneko -- On infra-red singularities associated with QC photons / T. Kawai and H.P. Stapp -- On the linear hull of exponentials in C[symbol] and applications to convolution equations / L.H. Khôi -- Hyperfunctions and Kernel method / D. Kim -- Generalized Fourier transformations: the work of Bochner and Carleman viewed in the light of the theories of Schwartz and Sato / C.O. Kiselman -- The effect of new Stokes curves in the exact steepest descent method / T. Koike and Y. Takei -- Fourier's hyperfunctions and Heaviside; s pseudo-differential operators / H. Komatsu -- Geometric aspects of large deviations for random walks on a crystal lattice / M. Kotani and T. Sunada -- Boehmians on the sphere and zonal spherical functions / M. Morimoto -- A new Lax pair for the sixth Painleve equation associated with [symbol](8) / M. Noumi and Y. Yamada -- On a generalization of the Laurent expansion / Y. Saburi -- Domains of convergence of Laplace series / J. Siciak -- On the singularites of solutions of nonlinear partial differential equations in the complex domain / H. Tahara -- Exponential polynomials and the Fourier-Borel transforms of algebraic local cohomology classes / S. Tajima -- The reproducing kernels of the space of harmonic polynomials in the case of real rank 1 / R. Wada and Y. Agaoka -- On the Lamé series representation of analytic hyperfunctions on a two-dimensional complex manifold / A.I. Zayed. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Fourier analysis.
|
|
Fourier analysis. |
|
Functions of complex variables.
|
|
Functions of complex variables. |
|
Microlocal analysis.
|
|
Microlocal analysis. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Added Author |
Fujita, Keiko.
|
|
Kawai, Takahiro.
|
|
Kyōto Daigaku. Sūri Kaiseki Kenkyūjo.
|
| Other Form: |
Print version: Kawai, Takahiro. Microlocal Analysis and Complex Fourier Analysis. Singapore : World Scientific Publishing Company, ©2002 9789812381613 |
| ISBN |
9789812776594 (electronic book) |
|
9812776591 (electronic book) |
|
9789812381613 |
|
9812381619 |
|
9812776591 |
|
1281929239 |
|
9781281929235 |
|
