Pommiez Operator in Spaces of Analytic Functions of Several Complex Variables

Pommiez operators in spaces of analytic functions of several complex variables are examined. Linear continuous operators that commute with the system of Pommiez operators in the space A (Ω) of analytic functions in a polycylindrical domain Ω and in the countable inductive limit of Fréchet weighted s...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 252; no. 3; pp. 345 - 359
Main Authors: Ivanov, P. A., Melikhov, S. N.
Format: Journal Article
Language:English
Published: New York Springer US 01.01.2021
Springer
Springer Nature B.V
Subjects:
Analytic functions
Complex variables
Entire functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
47B38
46E10
Pommiez operator
47A16
analytic function
commutant
cyclic vector
ISSN:1072-3374, 1573-8795
Online Access:Get full text
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Summary:Pommiez operators in spaces of analytic functions of several complex variables are examined. Linear continuous operators that commute with the system of Pommiez operators in the space A (Ω) of analytic functions in a polycylindrical domain Ω and in the countable inductive limit of Fréchet weighted spaces of entire functions are described. Cyclic vectors of the system of Pommiez operators in the space A (Ω) are studied.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-05164-7