Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions
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Published By American Mathematical Society

9780821829431, 9781470446413

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Criteria for the possibility of expanding functions in quasipower and factorial series

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/04 ◽

2002 ◽

pp. 89-117

Keyword(s):

Factorial Series

Functions of Carleman’s classes: Expansion in quasipower series

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/03 ◽

2002 ◽

pp. 63-88

Quasianalytic classes of functions

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/01 ◽

2002 ◽

pp. 1-26

On the use of quasipower series for representation of analytic functions in non-circular domains

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/06 ◽

2002 ◽

pp. 139-151

Keyword(s):

Analytic Functions ◽

Circular Domains

Generalizations of the Taylor formula. Quasipower series

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/02 ◽

2002 ◽

pp. 27-62

Keyword(s):

Taylor Formula

Generalized completely monotone functions and the condition for absolute convergence of a quasipower series (in the basic interval)

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/05 ◽

2002 ◽

pp. 119-137

Keyword(s):

Absolute Convergence ◽

Monotone Functions ◽

Completely Monotone Functions ◽

Basic Interval ◽

Completely Monotone

Some applications of quasipower series to the theory of functions of quasianalytic classes

Translations of Mathematical Monographs - Quasipower Series and Quasianalytic Classes of Functions ◽

10.1090/mmono/216/07 ◽

2002 ◽

pp. 153-180