Approximation by bounded analytic functions
J. L. Walsh
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J. L. Walsh
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Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 (1959/60)
Mathematische Zeitschrift
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E. Ligocka (1973)
Studia Mathematica
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Mohamed S. Baouendi (1983)
Journées équations aux dérivées partielles
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J. L. Walsh (1934)
Mathematische Zeitschrift
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Romi F. Shamoyan, Olivera Mihić (2018)
Czechoslovak Mathematical Journal
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We obtain new sharp embedding theorems for mixed-norm Herz-type analytic spaces in tubular domains over symmetric cones. These results enlarge the list of recent sharp theorems in analytic spaces obtained by Nana and Sehba (2015).
Lars Inge Hedberg (1972)
Mathematische Zeitschrift
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