Injectivity of the double fibration transform for cycle spaces of flag domains.
Huckleberry, Alan T., Wolf, Joseph A. (2004)
Journal of Lie Theory
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Huckleberry, Alan T., Wolf, Joseph A. (2004)
Journal of Lie Theory
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Simões, Bruno Ascenso (2010)
Journal of Inequalities and Applications [electronic only]
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Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Benjamin Cahen (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a Hermitian symmetric space of the non-compact type and let be a discrete series representation of which is holomorphically induced from a unitary irreducible representation of . In the paper [B. Cahen, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Beiträge Algebra Geom., DOI 10.1007/s13366-011-0066-2], we have introduced a notion of complex-valued Berezin symbol for an operator acting on the space of . Here we study the corresponding...
Paul-Emile Paradan (2015)
Journal of the European Mathematical Society
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In this paper we show that the multiplicities of holomorphic discrete series representations relative to reductive subgroups satisfy the credo “quantization commutes with reduction”.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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M. Mateljević (1986)
Matematički Vesnik
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