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.
Read or Download Classical Fourier Analysis (Graduate Texts in Mathematics) PDF
Similar functional analysis books
This monograph offers a radical, finished research of the slim topology on random likelihood measures on Polish areas. As a different function, the writer makes no extra assumptions at the likelihood house within the historical past, comparable to completeness or a countable generated algebra. one of many major effects provided is a right away facts of the random analog of the Prohorov theorem, that is got with no invoking an embedding of the Polish area right into a compact area.
This publication provides holomorphic operator capabilities of a unmarried variable and functions, that are taken with the kin among neighborhood and worldwide theories. it's in line with tools and technics of advanced research of numerous variables.
Almost immediately no different publication offers with the steadiness challenge of practical equations in Banach algebras, internal product areas and amenable teams. additionally, in so much balance theorems for sensible equations, the completeness of the objective house of the unknown services inside the equation is believed.
The booklet offers an advent to the geometry of Hilbert areas and operator conception, concentrating on graduate and senior undergraduate scholars of arithmetic. significant issues mentioned within the booklet are internal product areas, linear operators, spectral thought and particular periods of operators, and Banach areas.
- Monotone Complete C*-algebras and Generic Dynamics (Springer Monographs in Mathematics)
- Exponentially Dichotomous Operators and Applications: 182 (Operator Theory: Advances and Applications)
- Hörmander Spaces, Interpolation, and Elliptic Problems (De Gruyter Studies in Mathematics)
- Complex Analysis: Fundamentals of the Classical Theory of Functions (Modern Birkhäuser Classics)
- Dear Martin / Dear Marcello:Gardner and Truzzi on Skepticism
Extra info for Classical Fourier Analysis (Graduate Texts in Mathematics)