By Shanzhen Lu,Dunyan Yan
This e-book commonly bargains with the Bochner–Riesz technique of a number of Fourier indispensable and sequence on Euclidean areas. It goals to offer a systematical advent to the basic theories of the Bochner–Riesz potential and significant achievements attained within the final 50 years. For the Bochner–Riesz technique of a number of Fourier vital, it comprises the Fefferman theorem which negates the Disc multiplier conjecture, the recognized Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's paintings on nearly in every single place convergence of the Bochner–Riesz ability under the severe index. For the Bochner–Riesz technique of a number of Fourier sequence, it comprises the idea and alertness of a category of functionality house generated via blocks, that is heavily with regards to nearly all over the place convergence of the Bochner–Riesz capacity. additionally, the booklet additionally introduce a little research effects on approximation of capabilities by way of the Bochner–Riesz means.
- An advent to a number of Fourier Series
- Bochner–Riesz technique of a number of Fourier Integral
- Bochner–Riesz technique of a number of Fourier Series
- The Conjugate Fourier essential and Series
Readership: Graduate scholars and researchers in mathematics.
Read Online or Download Bochner–Riesz Means on Euclidean Spaces PDF
Best functional analysis books
This ebook is the 1st systematic therapy of measures on projection lattices of von Neumann algebras. It provides major fresh leads to this box. One half is electrified via the Generalized Gleason Theorem on extending measures at the projection lattices of von Neumann algebras to linear functionals.
This publication deals a scientific presentation of up to date fabric scattered through the literature from the technique perspective. It experiences the fundamental theories and strategies, with many attention-grabbing difficulties in partial and usual differential equations, differential geometry and mathematical physics as functions, and gives the mandatory education for the majority very important elements in modern reviews.
The speculation of operator areas is particularly contemporary and will be defined as a non-commutative Banach area conception. An 'operator house' is just a Banach area with an embedding into the gap B(H) of all bounded operators on a Hilbert area H. the 1st a part of this ebook is an advent with emphasis on examples that illustrate numerous points of the idea.
Sie suchen Übungen zur Klausurvorbereitung, fabric für Tutorien oder Beispiele für eine Vorlesung zur weiterführenden research? In diesem umfangreichen Buch finden Sie eine Vielzahl verschiedener Aufgaben - von abstrakten Beweisen über theoretische und angewandte Beispiele hin zu konkreten Berechnungen.
- Applications of Functional Analysis and Operator Theory (Mathematics in Science and Engineering)
- Complex Analysis through Examples and Exercises (Texts in the Mathematical Sciences)
- Real Analysis
- Introduction to Symplectic Dirac Operators (Lecture Notes in Mathematics)
- Harmonic and Complex Analysis and its Applications (Trends in Mathematics)
Extra info for Bochner–Riesz Means on Euclidean Spaces
Bochner–Riesz Means on Euclidean Spaces by Shanzhen Lu,Dunyan Yan