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Ozan Öktem (1998)
Annales Polonici Mathematici
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We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.
Grzegorz Łysik (2000)
Annales Polonici Mathematici
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Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
Angus Macintyre, David Marker (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We show that log is needed to eliminate quantifiers in the theory of the real numbers with restricted analytic functions and exponentiation.
B. D. Bojanov (1974)
Applicationes Mathematicae
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Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Otto Liess (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Kapetanović (1983)
Matematički Vesnik
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Guillaume Valette (2005)
Annales Polonici Mathematici
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We give criteria of finite determinacy for the volume and multiplicities. Given an analytic set described by {v = 0}, we prove that the log-analytic expansion of the volume of the intersection of the set and a "little ball" is determined by that of the set defined by the Taylor expansion of v up to a certain order if the mapping v has an isolated singularity at the origin. We also compare the cardinalities of finite fibers of projections restricted to such a set.
J. L. Walsh
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