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

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Mathematics

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Author(s):	Steven G. Krantz

Date:	2009	Format:	pdf	Language:	English	ISBN/ASIN:	081764668X
Pages:	360	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	3/20/2024 5:20:52 AM

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081764668X pdf
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 Szego and Poisson–Szego 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.

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3244660	Book	https://nitroflare.com/view/AFFB66803CF7...		2.00	eternal

Tags: Analysis Applications Complex Explorations Function Group Harmonic Heisenberg Theory

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

Category: Mathematics

Description: Click to see full description

Category:
Mathematics