Explorations in Harmonic Analysis with Applications to Complex Function Theory and the Heisenberg Group /

• Main Author: Krantz, Steven G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston, MA : Birkhũser Boston, 2009.
• Edition: 1.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Group theory.; Harmonic analysis.; Fourier analysis.; Differential equations, partial.; Abstract Harmonic Analysis.; Approximations and Expansions.; Several Complex Variables and Analytic Spaces.; Fourier Analysis.; Group Theory and Generalizations.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4669-1

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier se...

Table of Contents:

• Preface
• Background in Fourier Series
• The Fourier Transform
• Fractional and Singular Integrals
• Pseudodifferential Operators
• The Real Variable Point of View
• Several Complex Variables
• Canonical Integral Operators
• Boundary Behavior
• The Heisenberg Group
• Analysis on the Heisenberg Group
• Index.