A study of various results for a class of entire Dirichlet series with complex frequencies

Title:

A study of various results for a class of entire Dirichlet series with complex frequencies

Creator:

Kumar, Niraj and Manocha, Garima

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9257c340-2565-4f3a-bc53-39eff0d6278d
uuid:9257c340-2565-4f3a-bc53-39eff0d6278d
doi:10.21136/MB.2017.0066-16

Subject:

Dirichlet series, Banach algebra, topological zero divisor, division algebra, continuous linear functional, and total set

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let F be a class of entire functions represented by Dirichlet series with complex frequencies ∑ ake hλ k ,zi for which (|λ k |/e)|λ k | k!|ak| is bounded. Then F is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. F is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to F have also been established.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1-9

Source:

Mathematica bohemica | 2018 Volume:143 | Number:1

Harvested from:

CDK

Metadata only:

false