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

Dosi (Dosiev) A. A.

IZVESTIYA MATHEMATICS, cilt.73, ss.1149-1171, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 73 Konu: 6
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1070/im2009v073n06abeh002476
  • Dergi Adı: IZVESTIYA MATHEMATICS
  • Sayfa Sayıları: ss.1149-1171

Özet

We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.