Identity principles for Bernstein quasianalytic functions

2013 ◽  
Vol 53 (2) ◽  
Author(s):  
Wiesław Pleśniak
Keyword(s):  
Quasianalytic Functions

The structure of spaces of quasianalytic functions of Roumieu type

2007 ◽  
Vol 89 (5) ◽  
pp. 430-441 ◽  
Author(s):  
José Bonet ◽  
Pawel Domański
Keyword(s):  
Quasianalytic Functions

scholarly journals Arc-quasianalytic functions

2015 ◽  
Vol 143 (9) ◽  
pp. 3915-3925 ◽  
Author(s):  
Edward Bierstone ◽  
Pierre D. Milman ◽  
Guillaume Valette
Keyword(s):  
Quasianalytic Functions

scholarly journals Local properties of maps of the ball

2003 ◽  
Vol 2003 (2) ◽  
pp. 75-81
Author(s):  
Yakar Kannai
Keyword(s):  
Unit Ball ◽  
Half Space ◽  
Interior Point ◽  
Closed Unit Ball ◽  
Game Theoretic ◽  
Local Properties ◽  
Constant Mapping ◽  
Quasianalytic Functions

Letfbe an essential map ofSn−1into itself (i.e.,fis not homotopic to a constant mapping) admitting an extension mapping the closed unit ballB¯nintoℝn. Then, for every interior pointyofBn, there exists a pointxinf−1(y)such that the image of no neighborhood ofxis contained in a coordinate half space withyon its boundary. Under additional conditions, the image of a neighborhood ofxcovers a neighborhood ofy. Differential versions are valid for quasianalytic functions. These results are motivated by game-theoretic considerations.

scholarly journals Pluripolarity of graphs of Denjoy quasianalytic functions of several variables

2014 ◽  
Vol 5 (2) ◽  
pp. 161-170
Author(s):  
Sevdiyor A. Imomkulov ◽  
Zafar Sh. Ibragimov
Keyword(s):  
Several Variables ◽  
Quasianalytic Functions

scholarly journals Formal relations between quasianalytic functions of some fixed class

2004 ◽  
Vol 83 (1) ◽  
pp. 35-40
Author(s):  
F. Broglia ◽  
A. Elkhadiri ◽  
F. Pieroni
Keyword(s):  
Formal Relations ◽  
Quasianalytic Functions

Distribution of roots of quasianalytic functions

1974 ◽  
Vol 16 (1) ◽  
pp. 585-591
Author(s):  
V. S. Konyukhovskii
Keyword(s):  
Distribution Of Roots ◽  
Quasianalytic Functions

scholarly journals The range of non-surjective convolution operators on Beurling spaces

1996 ◽  
Vol 38 (1) ◽  
pp. 125-135 ◽  
Author(s):  
José Bonet ◽  
Antonio Galbis
Keyword(s):  
Compact Support ◽  
Convolution Operator ◽  
Analytic Functions ◽  
Convolution Operators ◽  
Real Analytic Functions ◽  
Real Analytic ◽  
Quasianalytic Functions

AbstractLet μ ≠ 0 be an ultradistribution of Beurling type with compact support in the space . We investigate the range of the convolution operator Tμ on the space of non-quasianalytic functions of Beurling type associated with a weight w, in the case the operator is not surjective. It is proved that the range of TM always contains the space of real-analytic functions, and that it contains a smaller space of Beurling type for a weight σ ≥ ω if and only if the convolution operator is surjective on the smaller class.

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