Wave Packet Analysis

Author/creator Thiele, Christoph, 1968- Author
Format Electronic
Publication InfoProvidence : American Mathematical Society
Description86 p. ill
Supplemental ContentFull text available from CBMS Regional Conference Series in Mathematics - Backfile
Subjects

SeriesCBMS Regional Conference Ser. in Mathematics Ser. 105
Summary Annotation The concept of wave packet analysis originates in Carleson's famousproof of almost everywhere convergence of Fourier series of $L2$functions. It was later used by Lacey and Thiele to prove bounds onthe bilinear Hilbert transform. For quite some time, Carleson's wavepacket analysis was thought to be an important idea, but that it hadlimited applications. But in recent years, it has become clear that thisis an important tool for a number of other applications. This book is anintroduction to these tools. It emphasizes the classical successes(Carleson's theorem and the Hilbert transform) in the maindevelopment. However, the book closes with a dedicated chapter onmore recent results. Carleson's original theorem is sometimes cited asone of the most important developments of 20th century harmonicanalysis.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2005057101
ISBN9780821836613
ISBN0821836617 (Trade Paper) Active Record
Standard identifier# 9780821836613
Stock numberCBMS/105 00001436

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