The first three parts of the book cover functional analysis, harmonic analysis, and microlocal analysis. Each chapter is designed to provide readers with a solid understanding of fundamental concepts while guiding them through detailed proofs of significant theorems. These include the universal approximation property for artificial neural networks, Brouwer's domain invariance theorem, Nash's implicit function theorem, Calder�n's reconstruction formula and wavelets, Wiener's Tauberian theorem, H�rmander's theorem of propagation of singularities, and proofs of many inequalities centered around the works of Hardy, Littlewood, and Sobolev. The final part of the book offers an overview of the analysis of partial differential equations. This vast subject is approached through a selection of major theorems such as the solution to Calder�n's problem, De Giorgi's regularity theorem for elliptic equations, and the proof of a Strichartz–Bourgain estimate. Several renowned results are included in the numerous examples.

Based on courses given successively at the �cole Normale Sup�rieure in France (ENS Paris and ENS Paris-Saclay) and at Tsinghua University, the book is ideally suited for graduate courses in analysis and PDE. The prerequisites in topology and real analysis are conveniently recalled in the appendix

About the Author

Thomas Alazard is a senior researcher at CNRS and has taught at the �cole Normale Sup�rieure Paris, the �cole Normale Sup�rieure Paris-Saclay, and �cole Polytechnique. His research focuses on the analysis of partial differential equations.

"About this title" may belong to another edition of this title.

Store Description

We sell textbooks to students at very affordable prices. All books are brand new, satisfaction guaranteed.

Visit Seller's Storefront

Seller's business information

Romtrade Corp.
39137 BYERS DR., STERLING HEIGHTS, MI, 48310, U.S.A.

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks web
sites. If you're dissatisfied with your purchase (Incorrect Book/Not as
Described/Damaged) or if the order hasn't arrived, you're eligible for a refund
within 30 days of the estimated delivery date. If you've changed your mind about
a book that you've ordered, please use the Ask bookseller a question link to
contact us and we'll respond within 2 business days. The contact persons name is
Constantin Marandici and the m...

More Information

Shipping Terms

Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required. We use USPS, DHL and ARAMEX for shipping.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	5 to 10 business days	3 to 6 business days
First item	US$ 0.00	US$ 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.