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Catalogue Information
Field name	Details
Dewey Class	515.785
Title	Explorations in Harmonic Analysis ([Ebook]) : with Applications to Complex Function Theory and the Heisenberg Group / by Steven G. Krantz.
Author	Krantz, Steven George , 1951-
Other name(s)	SpringerLink (Online service)
Edition statement	1.st ed.
Publication	Boston, MA : Birkhäuser , 2009.
Physical Details	: online resource.
Series	Applied and numerical harmonic analysis
ISBN	9780817646691
Summary Note	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 series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the SzegÃ¶ and PoissonâSzegÃ¶ integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis. Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis.:
Contents note	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.
System details note	Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4669-1
Links to Related Works	Subject References: Abstract Harmonic Analysis . Approximations and Expansions . Differential equations, Partial . Fourier Analysis . Group theory . Group Theory and Generalizations . Harmonic analysis . Partial differential equations . Several Complex Variables and Analytic Spaces . Authors: Krantz, Steven George 1951- . Corporate Authors: SpringerLink (Online service) . Series: Applied and numerical harmonic analysis . Classification: 515.785 . 515.785 (DDC 22) .

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

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