Description 
1 online resource 
Contents 
Introduction and main results  Vectorvalued Fourier transform and Fourier series  Rboundedness and operatorvalued Fourier multiplier theorems  Classes of operators and Dunford functional calculus  Parabolic problems and maximal regularity  Fourier transform approach to operatordependent problems  Fourier series approach to operatordependent problems  Application to cylindrical boundary value problems  Application to the Stokes equation  The functional calculus approach 
Summary 
Annotation Tobias Nau addresses initial boundary value problems in cylindrical space domains with the aid of modern techniques from functional analysis and operator theory. In particular, the author uses concepts from Fourier analysis of functions with values in Banach spaces and the operatorvalued functional calculus of sectorial operators. He applies abstract results to concrete problems in cylindrical space domains such as the heat equation subject to numerous boundary conditions and equations arising from fluid dynamics 
Analysis 
Mathematics 

Fourier analysis 
Notes 
Diss. Universität Konstanz, 2012 
Bibliography 
Includes bibliographical references and index 
Notes 
Summary in German 
Subject 
Boundary value problems.


Fourier analysis.


Fourier Analysis.


Mathematics.

Genre/Form 
Academic theses.

Form 
Electronic book

ISBN 
3834825050 (electronic bk.) 

9783834825056 (electronic bk.) 
