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Izvestiya: Mathematics, 2009, Volume 73, Issue 6, Pages 1149–1171
DOI: https://doi.org/10.1070/IM2009v073n06ABEH002476 (Mi im2661) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem

A. A. Dosi

Middle East Technical University Northern Cyprus Campus
English version PDF (378 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM2009v073n06ABEH002476
Abstract: We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra $\mathfrak g$. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
Keywords: holomorphic functions in elements of a Lie algebra, Arens–Michael envelope, localization.
Received: 10.05.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2009, Volume 73, Issue 6, Pages 77–100
DOI: https://doi.org/10.4213/im2661
Bibliographic databases:
UDC: 512.556+517.553
MSC: 46H30, 46A35, 17B35
Language: English
Original paper language: Russian
Citation: A. A. Dosi, “Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem”, Izv. RAN. Ser. Mat., 73:6 (2009), 77–100; Izv. Math., 73:6 (2009), 1149–1171
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:486
    Russian version PDF:182
    English version PDF:18
    References:55
    First page:10
     
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