复与P进位分析中有关值分布及微分性的一些论题

所属分类:数学  
出版时间:2008-1   出版时间:科学出版社   作者:A.Escassut   页数:631  

内容概要

The recent advancements,new results and applications of complex analysis and p-adic analysis are rather extensive.In this book,the focus centers on those topics which pertain to two intrinsic properties of analytic functions:value distribution and complex differentiability.Complex analysis and p-adic analysis are two closely linked,old branches of mathematics that have played a prominent role in the development of modem mathematics.

作者简介

作者:(美国)A.Escassut

书籍目录

PrefaceList
of
ContributorsPart

Value
Distribution
of
Complex
and
P-adic
Functions Chapter
1
The
Second
Main
Theorem
on
Generalized
Parabolic
Manifolds
 1.1
Monge-Ampere
equations
and
generalized
parabolic
manifolds 
1.2
Projectivized
bundles
over
Stein
manifolds 
1.3
Meromorphic
global
forms 
1.4
Analytic
and
algebraic
Pliicker
Formulas:
The
classical
case 
1.5
Plucker's
formulas
for
generalized
parabolic
manifolds 
1.6
An
analogue
of
the
Ahlfors-Stoll
estimate 
1.7
The
second
main
theorem Chapter
2
P-adic
Value
Distribution
 2.1
Ultrametric
analytic
functions 
2.2
Lazard's
problem
and
p-adic
Nevanlinna
theory 
2.3
Applications
of
the
Nevanlinna
theory Chapter
3
Survey
on
Meromorphic
Functions
of
Uniqueness
 3.1
Introduction
and
basic
results 
3.2
Main
results
and
examples Chapter
4
A
Survey
on
Uniqueness
Polynomials
and
Unique
Range
Sets
 4.1
Meromorphic
functions
sharing
points 
4.2
Unique
range
set
for
meromorphic
functions 
4.3
Uniqueness
polynomials
for
meromorphic
functions Chapter
5
On
Petrenko's
Theory
of
Growth
of
Meromorphic
Functions
 5.1
The
growth
of
functions
meromorphic
in
the
plane 
5.2
The
growth
of
functions
meromorphic
in
the
disc 
5.3
Separated
maximum
modulus
points
of
entire
and
meromorphic
functions 
5.4
Strong
asymptotic
values
and
strong
asymptotic
spots
of
entire
and
meromorphic
functions Chapter
6
Linear
Operators,
Fourier
Transforms
and
the
Riemann
ξ-function
 6.1
The
Laguerre-P61ya
class
and
the
Riemann
ξ-function 
6.2
Complex
zero
decreasing
sequences
and
λ-sequences 
6.3
The
distribution
of
zeros
of
Fourier
transforms 
6.4
Infinite
order
differential
operators
and
the
Riemann
ξ-function Chapter
7
Hyperbolic
Hypersurfaces
of
Lower
Degrees
 7.1
Introduction
and
main
techniques 
7.2
Hyperbolic
curves 
7.3
Hyperbolic
surfaces 
7.4
Hyperbolic
hypersurfaces
in
P4(C) Chapter
8
Admissible
Solutions
of
Functional
Equations
of
Diophantine
Type
 8.1
Introduction 
8.2
Background
and
results 
8.3
Preliminary
lemmas
 8.4
Proofs
of
the
resultsPart

New
Applications
of
the
Concept
of
DifferentiabilityPart
Ⅲ Boundary
Value
Problems

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