The work of Yves Meyer. (English) Zbl 1225.01059

Daubechies, Ingrid

Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 115-124 (2011).

Summary: Yves Meyer has made numerous contributions to mathematics, several of which will be reviewed here, in particular in number theory, harmonic analysis and partial differential equations.
His work in harmonic analysis led him naturally to take an interest in wavelets, when they emerged in the early 1980s; his synthesis of the advanced theoretical results in singular integral operator theory, established by himself and others, and of the requirements imposed by practical applications, led to enormous progress for wavelet theory and its applications. Wavelets and wavelet packets are now standard, extremely useful tools in many disciplines; their success is due in large measure to the vision, the insight and the enthusiasm of Yves Meyer.
For the entire collection see [Zbl 1220.00031].

MSC:

01A70	Biographies, obituaries, personalia, bibliographies
42-03	History of harmonic analysis on Euclidean spaces
42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
94-03	History of information and communication theory
94A08	Image processing (compression, reconstruction, etc.) in information and communication theory

Keywords:

harmonic analysis; wavelets; signal analysis; images; quasicrystals; Navier-Stokes