Download Classical Fourier Analysis (Graduate Texts in Mathematics) by Loukas Grafakos PDF

By Loukas Grafakos

Newly formatted for Kindle, this textbook offers the theoretical origin of the sphere of Fourier research on Euclidean areas. It covers classical issues resembling interpolation, Fourier sequence, the Fourier rework, maximal capabilities, singular integrals, and Littlewood–Paley idea. the first readership is meant to be graduate scholars in arithmetic with the prerequisite together with passable final touch of classes in actual and intricate variables. The insurance of themes and exposition kind are designed to go away no gaps in knowing and stimulate additional study.

This 3rd variation 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 variation. Appendices I and B.9 also are new to this variation. numerous corrections and enhancements were made to the fabric from the second one version. Additions and enhancements contain: extra examples and purposes, new and extra proper tricks for the present routines, new workouts, and superior references.

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