Modern Fourier Analysis (Graduate Texts in Mathematics) by Loukas Grafakos
By Loukas Grafakos
This textual content is addressed to graduate scholars in arithmetic and to researchers who desire to collect a detailed figuring out of Euclidean Harmonic research. The textual content covers modern subject matters and strategies in functionality areas, atomic decompositions, singular integrals of nonconvolution kind and the boundedness and convergence of Fourier sequence and integrals. The exposition and magnificence are designed to stimulate extra learn and advertise study. old info and references are integrated on the finish of every chapter.
This 3rd variation encompasses a new bankruptcy entitled "Multilinear Harmonic research" which makes a speciality of subject matters relating to multilinear operators and their functions. Sections 1.1 and 1.2 also are new during this variation. various corrections were made to the textual content from the former variations and several other advancements were included, equivalent to the adoption of transparent and chic statements. a couple of extra routines were additional with appropriate tricks while necessary.
Reviews from the second one Edition:
“The books disguise a large number of arithmetic. they're definitely a useful and worthy addition to the prevailing literature and will function textbooks or as reference books. scholars will specially get pleasure from the large selection of exercises.”
—Andreas Seeger, Mathematical reports
“The routines on the finish of every part complement the fabric of the part properly and supply a great opportunity to strengthen
additional instinct and deeper comprehension. The ancient notes in each one bankruptcy are meant to supply an account of previous study in addition to to signify instructions for additional research. the amount is especially addressed to graduate scholars who desire to learn harmonic analysis.”
—Leonid Golinskii, zbMATH
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