Fourier Multiplier Methods in the Study of Growth and Decay of Semigroups

C. Deng

doi:10.4233/uuid:85e10ab4-5ff9-4385-a861-2525b73093e0

Fourier Multiplier Methods in the Study of Growth and Decay of Semigroups

C. Deng

Analysis

Research output: Thesis › Dissertation (TU Delft)

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Abstract

In this dissertation, we aim to apply Fourier multiplier theory as a unifying method to advance the study of semigroup theory and further develop the Fourier multiplier theory itself.

Original language	English
Awarding Institution	Delft University of Technology
Supervisors/Advisors	Veraar, M.C., Promotor Lorist, E., Copromotor
Award date	1 Dec 2025
Electronic ISBNs	978-94-6518-137-0
DOIs	https://doi.org/10.4233/uuid:85e10ab4-5ff9-4385-a861-2525b73093e0
Publication status	Published - 2025

Keywords

Polynomial stability
strongly continuous semigroup
discrete semigroup
strongly Kreiss bounded operator
Fourier multiplier theory

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title = "Fourier Multiplier Methods in the Study of Growth and Decay of Semigroups",

abstract = "In this dissertation, we aim to apply Fourier multiplier theory as a unifying method to advance the study of semigroup theory and further develop the Fourier multiplier theory itself. ",

keywords = "Polynomial stability, strongly continuous semigroup, discrete semigroup, strongly Kreiss bounded operator, Fourier multiplier theory",

author = "C. Deng",

year = "2025",

doi = "10.4233/uuid:85e10ab4-5ff9-4385-a861-2525b73093e0",

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N2 - In this dissertation, we aim to apply Fourier multiplier theory as a unifying method to advance the study of semigroup theory and further develop the Fourier multiplier theory itself.

AB - In this dissertation, we aim to apply Fourier multiplier theory as a unifying method to advance the study of semigroup theory and further develop the Fourier multiplier theory itself.

KW - Polynomial stability

KW - strongly continuous semigroup

KW - discrete semigroup

KW - strongly Kreiss bounded operator

KW - Fourier multiplier theory

U2 - 10.4233/uuid:85e10ab4-5ff9-4385-a861-2525b73093e0

DO - 10.4233/uuid:85e10ab4-5ff9-4385-a861-2525b73093e0

M3 - Dissertation (TU Delft)

ER -

Fourier Multiplier Methods in the Study of Growth and Decay of Semigroups

Abstract

Keywords

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