The maximum modulus principle for 𝐢𝑅 functions on smooth real embedded submanifolds of 𝐢ⁿ

1977 β—½  
pp. 139-140
Author(s):  
David Ellis β—½  
C. Denson Hill
Keyword(s):  
Maximum Modulus β—½  
Maximum Modulus Principle

On the maximum modulus principle for polynomials in a quasidisk

10.1007/bf02787832 β—½  
2005 β—½  
Vol 96 (1) β—½  
pp. 283-295
Author(s):  
V. V. Andrievskii
Keyword(s):  
Maximum Modulus β—½  
Maximum Modulus Principle

scholarly journals The local maximum modulus principle for function spaces

1975 β—½  
Vol 51 (2) β—½  
pp. 109-112
Author(s):  
Yukio Hirashita β—½  
Junzo Wada
Keyword(s):  
Local Maximum β—½  
Maximum Modulus β—½  
Function Spaces β—½  
Maximum Modulus Principle

On the massiveness of exceptional sets of the maximum modulus principle

2010 β—½  
Vol 74 (4) β—½  
pp. 723-734
Author(s):  
Vladimir I Danchenko
Keyword(s):  
Maximum Modulus β—½  
Maximum Modulus Principle β—½  
Exceptional Sets

Complex vector fields, unique continuation and the maximum modulus principle

2011 β—½  
Vol 191 (4) β—½  
pp. 761-769
Author(s):  
C. Denson Hill β—½  
Mauro Nacinovich
Keyword(s):  
Vector Fields β—½  
Unique Continuation β—½  
Maximum Modulus β—½  
Maximum Modulus Principle β—½  
Complex Vector

Linear forms in algebraic points of Abelian functions. II

1976 β—½  
Vol 79 (1) β—½  
pp. 55-70 β—½  
Author(s):  
D. W. Masser
Keyword(s):  
Analytic Function β—½  
Maximum Modulus β—½  
Complex Variables β—½  
Several Complex Variables β—½  
Maximum Modulus Principle β—½  
Linear Forms β—½  
Extrapolation Procedure β—½  
Abelian Functions

In this paper we continue to develop the apparatus needed for the proof of the theorem announced in (11). We retain the notation of (11) together with the assumptions made there about the field of Abelian functions. This section deals with properties of more general functions holomorphic on Cn. When n = 1 the extrapolation procedure in problems of transcendence is essentially the maximum modulus principle together with the act of dividing out zeros of an analytic function. For n > 1, however, this approach is not possible, and some mild theory of several complex variables is required. This was first used in the context of transcendence by Bombieri and Lang in (2) and (12), and we now give a brief account of the basic constructions of their papers.

On the maximum modulus principle for the tangential Cauchy-Riemann equations

10.1007/bf01432379 β—½  
1974 β—½  
Vol 208 (2) β—½  
pp. 91-97 β—½  
Author(s):  
James A. Carlson β—½  
C. Denson Hill
Keyword(s):  
Maximum Modulus β—½  
Maximum Modulus Principle β—½  
Cauchy Riemann
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