The major objective of this article is to provide the theoretical origin of the sphere of Fourier research on Euclidean areas. It covers classical issues akin to interpolation, Fourier sequence, the Fourier remodel, maximal services, singular integrals, and Littlewood–Paley concept. the first readership is meant to be graduate scholars in arithmetic with the prerequisite together with passable finishing touch of classes in actual and intricate variables. The assurance of themes and exposition sort are designed to go away no gaps in figuring out and stimulate extra study.
This 3rd version contains new Sections 3.5, 4.4, 4.5 in addition to a brand new bankruptcy on “Weighted Inequalities,” which has been moved from GTM 250, second version. Appendices I and B.9 also are new to this version. numerous corrections and enhancements were made to the cloth from the second one variation. Additions and enhancements contain: extra examples and functions, new and extra suitable tricks for the prevailing workouts, new routines, and more suitable references.
Reviews from the second one Edition:
“The books hide a large number of arithmetic. they're definitely a important and worthy addition to the present literature and will function textbooks or as reference books. scholars will in particular delight in the wide selection of exercises.”
Andreas Seager, Mathematical Reviews
“This booklet is especially fascinating and priceless. it's not just a strong textbook, but additionally an i
ndispensable and invaluable reference for researchers who're engaged on research and partial differential equations. The readers will surely gain much from the distinct proofs and the varied exercises.”
Yang Dachun, zbMATH