This textual content is addressed to graduate scholars in arithmetic and to researchers who desire to collect a close figuring out of Euclidean Harmonic research. The textual content covers modern subject matters and strategies in functionality areas, atomic decompositions, singular integrals of nonconvolution sort and the boundedness and convergence of Fourier sequence and integrals. The exposition and elegance are designed to stimulate extra research and advertise study. historic details and references are incorporated on the finish of every chapter.
This 3rd variation contains a new bankruptcy entitled "Multilinear Harmonic research" which specializes in issues with regards to multilinear operators and their purposes. Sections 1.1 and 1.2 also are new during this version. various corrections were made to the textual content from the former variants and several other advancements were integrated, similar to the adoption of transparent and chic statements. a couple of extra routines were extra with proper tricks whilst necessary.
Reviews from the second one Edition:
“The books conceal a large number of arithmetic. they're definitely a priceless and beneficial addition to the prevailing literature and will function textbooks or as reference books. scholars will specifically delight in the large choice of exercises.”
—Andreas Seeger, Mathematical experiences
“The workouts on the finish of every part complement the fabric of the part well and supply an excellent chance to boost
additional instinct and deeper comprehension. The historic notes in each one bankruptcy are meant to supply an account of earlier study in addition to to signify instructions for extra research. the amount is especially addressed to graduate scholars who desire to learn harmonic analysis.”
—Leonid Golinskii, zbMATH