The Nevanlinna theory and its related Paley problems with applications in infinite-dimensional spaces

In this article, the advances of the following topics in infinite-dimensional spaces are introduced: (i) the Nevanlinna theory of vector-valued meromorphic mappings of one complex variable and several complex variables, (ii) the relations between the maximum modulus and characteristic mappings of me...

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Vydáno v:Complex variables and elliptic equations Ročník 56; číslo 1-4; s. 299 - 314
Hlavní autor: Hu, C.G.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Colchester Taylor & Francis Group 01.01.2011
Taylor & Francis Ltd
Témata:
Banach space
Boundary value problems
Control theory
infinite-dimensional space
Information theory
Nevanlinna theory
parabolic manifold
Primary 30D35
Secondary 30G30
the Paley problem
ISSN:1747-6933, 1747-6941
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Popis
Shrnutí:In this article, the advances of the following topics in infinite-dimensional spaces are introduced: (i) the Nevanlinna theory of vector-valued meromorphic mappings of one complex variable and several complex variables, (ii) the relations between the maximum modulus and characteristic mappings of meromorphic mappings using solutions of the Paley problem with Riemann boundary value problems and (iii) some applications to H ∞ -control theory, information theory and search for earthquake in infinite-dimensional spaces.
Bibliografie:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1747-6933
1747-6941
DOI:10.1080/17476930903394861