Division of Distributions by Locally Definable Quasianalytic Functions

Krzysztof Jan Nowak

doi:10.4064/ba58-3-3

Division of Distributions by Locally Definable Quasianalytic Functions

Bulletin of the Polish Academy of Sciences Mathematics ◽

10.4064/ba58-3-3 ◽

2010 ◽

Vol 58 (3) ◽

pp. 201-208 ◽

Cited By ~ 1

Author(s):

Krzysztof Jan Nowak

Keyword(s):

Quasianalytic Functions

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The structure of spaces of quasianalytic functions of Roumieu type

Archiv der Mathematik ◽

10.1007/s00013-007-2073-y ◽

2007 ◽

Vol 89 (5) ◽

pp. 430-441 ◽

Cited By ~ 6

Author(s):

José Bonet ◽

Pawel Domański

Keyword(s):

Quasianalytic Functions

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On the range of the Borel map for classes of non-quasianalytic functions

Progress in Functional Analysis, Proceedings of the International Functional Analysis Meeting on the Occasion of the 60th Birthday of Professor M. Valdivia - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)70313-x ◽

1992 ◽

pp. 97-111 ◽

Cited By ~ 6

Author(s):

J. Bonet ◽

R. Meise ◽

B.A. Taylor

Keyword(s):

Borel Map ◽

Quasianalytic Functions

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Identity principles for Bernstein quasianalytic functions

Commentationes Mathematicae ◽

10.14708/cm.v53i2.783 ◽

2013 ◽

Vol 53 (2) ◽

Author(s):

Wiesław Pleśniak

Keyword(s):

Quasianalytic Functions

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Arc-quasianalytic functions

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2015-12547-6 ◽

2015 ◽

Vol 143 (9) ◽

pp. 3915-3925 ◽

Cited By ~ 2

Author(s):

Edward Bierstone ◽

Pierre D. Milman ◽

Guillaume Valette

Keyword(s):

Quasianalytic Functions

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Solution to the first Cousin problem for vector-valued quasianalytic functions

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-017-0649-0 ◽

2017 ◽

Vol 196 (6) ◽

pp. 1983-2003 ◽

Cited By ~ 3

Author(s):

Andreas Debrouwere ◽

Jasson Vindas

Keyword(s):

Cousin Problem ◽

Quasianalytic Functions ◽

Vector Valued

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Local properties of maps of the ball

Abstract and Applied Analysis ◽

10.1155/s1085337503204012 ◽

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.

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