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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Composition Operators on Entire Dirichlet Series with Real Frequencies

Composition Operators on Entire Dirichlet Series with Real Frequencies

Le, Hai Khoi
Le, Trieu

Hardcover

General Mathematics

PREORDER - Expected ship date February 5, 2027

ISBN10: 9819806453
ISBN13: 9789819806454
Publisher: World Scientific Publishing Company
Published: Feb 5 2027
Pages: 204
Language: English
Dirichlet series with real frequencies, or generalized Dirichlet series, extend the classical Dirichlet series, which are widely used in number theory and complex analysis. In recent years, composition operators -- situated at the intersection of complex analysis, functional analysis, and operator theory -- have been extensively studied on various function spaces, including spaces of classical Dirichlet series.In functional analysis, the study of Hilbert and Banach spaces of Dirichlet series, and the action of composition operators on these spaces, has garnered significant attention. This includes exploring properties such as boundedness, compactness, essential norms, Fredholmness, and cyclicity, particularly on entire Dirichlet series with real frequencies.Given the two directions of development in the study of the Dirichlet series -- either holomorphic on the half-plane or entire across the whole plane -- this monograph addresses the pressing need for a comprehensive investigation on composition operators acting on entire generalized Dirichlet series. It provides foundational knowledge, recent developments, and several open questions for further research, offering a valuable resource for both established researchers and those new to the field.

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