Proceedings of the 2nd Isaac Congress

by Begehr, Heinrich G. W.; Gilbert, Robert P.; Kajiwara, Joji

• ISBN13: 9780792365976
• ISBN10: 0792365976
• Format: Hardcover
• Copyright: 2000-10-01
• Publisher: Springer Verlag

Summary

The emphasis of the two volumes is on complex analysis with classical topics such as value distribution, and modern topics such as complex dynamics, both in one and several complex variables; the application of complex analysis to partial differential equations and integral equations and its generalization to quaternionic and Clifford analysis; new results from real and functional analysis, numerical and computational mathematics; and areas in applied mathematics such as acoustics and computational biology. Audience: Researchers, especially those working in real and complex analysis, in numerical analysis, and in mathematical physics.

Table of Contents

Preface
A central limit theorem for the simple random walk on a crystal lattice	1	(6)
M. Kotani
T. Sunada
Level Statistics for Quantum Hamiltonians-Some Preliminary Ideas toward Mathematical Justification of the Theory of Berry and Tabor	7	(8)
N. Minami
Fermion process and Fredholm determinant	15	(10)
T. Shirai
Y. Takahashi
Strong type estimation from weak type estimates for some integral operators	25	(6)
N. Fujii
Conjugate Fourier Series and Integrals of Several Variables in the l -- 1 Sense	31	(10)
Z. Li
Admissible wavelets and Siegel domains	41	(10)
H. Liu
Some results on a class of oscillatory integrals	51	(8)
S. Lu
Weighted Hardy spaces on a domain	59	(6)
A. Miyachi
Commutators of singular integral operators on Morrey spaces with some growth functions	65	(10)
T. Mizuhara
On generalized fractional integrals in the Orlicz spaces	75	(8)
E. Nakai
Weak (1,1) estimates for Littlewood-Paley functions with rough kernels	83	(6)
S. Sato
A Note on average densities of Brownian intersection measures	89	(8)
N.-R. Shieh
Problem of integral geometry on paraboloids with perturbation	97	(8)
A.H. Begmatov
The connection between discrete and continuous realisations of least squares method	105	(8)
Y.V. Chebrakov
V.V. Shmagin
An Eigenvalue Problem for Analytic Functions	113	(6)
D.Q. Dai
M.S. Liu
On quadrature formulae of hypersingular integrals	119	(10)
J.Y. Du
J.C Hu
Theoretical and Numerical analysis of inversion of satellite remote sensing	129	(8)
S.-x. Huang
J. Li
Optimization of vector-valued integral equations for a class	137	(8)
C.G. Hu
L.X. Ma
Nonlinear Riemann-Hilbert problems of first order quasilinear elliptic system	145	(8)
M. Z. Li
The algorithm implementation of cauchy singular integral in Daubechies wavelets on the interval	153	(10)
W. Lin
Q. Li
Closed form solution for a hypersingular integral equation of order n + 1	163	(6)
X. Li
Cyclically symmetric crack problems of different media II	169	(6)
J. Lu
Linear conjugate boundary value problems for first order ordinary system of linear differential equations with singular or super singular coefficients	175	(10)
N. Rajabov
Initial-mixed boundary value problems for parabolic equations of second order with measurable coeeficients in a higher dimensional domain	185	(8)
G. C. Wen
Stability estimates in states-estimation for a heat process	193	(6)
D. Xu
M. Yamamoto
Plastic zone and opening displacement for an asymmetrical fast propagating semi-infinite crack in a strip	199	(8)
X.-C. Yang
T.-Y. Fan
Certain class of hyperanalytic Haseman boundary value problems	207	(8)
Y.S. Zeng
On compound boundary value problems for non linear elliptic systems of first order	215	(8)
C. Zhao
On the integral of cauchy type and the generalized Harnack theorem for bianalytic functions	223	(8)
Z. Zhao
The growth of spirallike mappings	231	(6)
H. Hamada
G. Kohr
Subordination principle to functions of several complex variables	237	(6)
K. H. Shon
G. M. Son
p-adic Nevanlinna Theory and Functional Equations	243	(8)
A. Boutabaa
A. Escassut
Unique range sets in p-adic and complex analysis	251	(10)
A. Escassut
A. Boutabaa
On uniqueness of meromorphic functions sharing finite sets	261	(10)
H. Fujimoto
Defect relations for moving targets	271	(28)
P.-C. Hu
C.-C. Yang
The Green-residue theorem and the Nevanlinna's second theorem on small functions in Banach spaces	299	(12)
C.-G. Hu
X.-F. Ye
Dynamics of Transcendental Functions	311	(6)
X. Hua
X. Wang
C. C. Yang
On the Growth of Meromorphic Solutions of Algebraic Differential Equations	317	(12)
L. Liao
Numerical conformal mapping by the charge simulation method and its application to potential flow analysis	329	(8)
K. Amano
D. Okano
H. Shimohira
M. Sugihara
Henon mapping of complex n-space in complex n-space	337	(10)
Y. Fukushima
The Caratheodory convergence of Fatou components of polynomials to Baker domains or wandering domains	347	(10)
S. Morosawa
DE-type quadrature formulae for Cauchy principal-value integrals and for Hadamard finite-part integrals	357	(10)
H. Ogata
M. Sugihara
M. Mori
Mathematical models used for sound synthesis	367	(8)
K. Ohya
K. Shinjo
An integral equation method of numerical conformal mapping onto parallel, circular and radial slit domains	375	(8)
D. Okano
K. Amano
Uniformly perfect sets, rational semigroups, Kleinian Groups and Iterated functions systems	383	(6)
R. Stankewitz
Non-real zeros of derivatives of real entire functions and some Polya - Wiman conjectures	389	(10)
S. Edwards
S. Hellerstein
On meromorphic solutions of linear differential equations with at least one transcendental coefficients	399	(14)
K. Tohge
Hausdorff Dimension of the Chaotic Set of the N-shaped mapping	413	(6)
Y. Sun
L. Xi
Z. Wanli
Algebraic dependence of meromorphic mappings with deficiencies into algebraic varieties	419	(8)
Y. Aihara
Nevanlinna theory and stochastic calculus - Some applications of stochastic first main theorem	427	(6)
A. Atsuji
Elimination of defects of non-Archimedean holomorphic curves	433	(18)
P.-C. Hu
S. Mori
Deficiencies of meromorphic functions	451	(8)
X. Hua
S. Mori
An example of analogy of Nevanlinna theory and Diophantine approximation	459	(8)
T. Hyuga
Uniqueness problems on meromorphic functions that share four small functions	467	(6)
K. Ishizaki
A space of meromorphic mappings and defects of a meromorphic mapping into Pn (C)	473	(6)
S. Mori
On Picard constants of algebroid Riemann surfaces	479	(10)
K. Sawada
On deficiencies and ramification indices for Painleve transcendents of the second kind	489	(6)
S. Shimomura
Uniqueness of holomorphic mappings with the same inverse images of hypersurfaces	495	(6)
M. Shirosaki
An improvement of the second fundamental theorem for holomorphic curves	501	(10)
N. Toda
On factorization of entire functions of two complex variables	511	(12)
H. Urabe
Borel removable sets in value distribution theory	523	(8)
S. Wu
Meromorphic solutions of algebraic differential equations and α-Yosida functions	531	(10)
H. Wulan
Meromorphic solutions of difference equations	541	(10)
N. Yanagihara
Some recent progress in the uniqueness theory of meromorphic functions	551	(14)
L.-Z. Yang
On the uniqueness of meromorphic functions concerning fix-points*	565	(10)
W. Yuan
M. Fang
Navier-Stokes equations and time-global strong solutions	575	(6)
H. Kato
Set-valued mappings on LCA group and approximate identity	581	(4)
H. C. Lai
J. C. Lee
Minokowski's inequality for extended mean values	585	(8)
Z. Liu
On some estimates of solution of some degenerate nonlinear parabolic equations	593	(12)
T. Nanbu
Holomorphic functions of a complex variable in Clifford Analysis	605	(8)
K. Nono
Algebras of hypercomplex monogenic functions and axial-symmetrical potential fields	613	(10)
S. Plaksa
Local contour-solid theorems for finely hypoharmonic functions	623	(12)
P. M. Tamrazov
Analytic smoothing effects for nonlocal nonlinear Shrodinger equations in two space dimensions	635	(8)
N. Hayashi
P. I. Naumkin
H. Uchida
Representations of initial heat distributions by means of their heat distributions	643	(8)
G. Nakamura
S. Saitoh
A. Syarif
Locally convex *-algebras and the thermodynamical limit of quantum models	651	(10)
F. Bagarello
On continuity properties of vertex operators	661	(10)
K.-D. Kursten
M. Lauter
A multivariable von Neumann's inequality	671	(8)
T. Okayasu
CQ*-algebras of operators and applications to quantum models	679	(8)
C. Trapani
On structure of C*-like locally convex *-algebras	687	(10)
A. Inoue
K. D. Kursten
Infinite-dimensional groups applications to industrial problems	697	(10)
B. S. Khots
Integral operators related to boundary value problems in 2-D domains with cuts	707	(12)
P. A. Krutitskii
On computation of some asymptotic characteristics of vacuum polarization in Schwarzschild space-time	719	(8)
J. M. Rappoport
Computation of one-parametric families of solutions of nonlinear equations	727	(10)
Vladilen A. Trenogin
Parameter Continuation Method for Ordinary Differential Equations	737	(6)
V. G. Vetekha
Schwarz' kernel theorem for Fourier hyperfunctions	743	(12)
E. Bruning
Every Stieltjes moment problem has solutions in Gelfand-Shilov spaces	755	(6)
J. Chung
S-Y. Chung
D. Kim
Roumieu type tempered ultradistributions and Fourier hyperfunctions	761	(10)
A. Eida
S. Pilipovic
Holomorphic functions on the dual Lie ball	771	(10)
K. Fujita
M. Morimoto
Sato hyperfunctions valued in a locally convex space	781	(8)
Y. Ito
Density theorems for exponential systems in the Bergman space of holomorphic functions	789
H. K. Le