Wavelet Analysis and Applications (Applied and Numerical Harmonic Analysis)

This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike. cover-image-large.jpg......Page 1 front-matter.pdf......Page 2 front-matter01.pdf......Page 15 fulltext01.pdf......Page 16 fulltext02.pdf......Page 25 fulltext03.pdf......Page 37 fulltext04.pdf......Page 46 fulltext05.pdf......Page 54 fulltext06.pdf......Page 58 front-matter02.pdf......Page 68 fulltext07.pdf......Page 69 fulltext08.pdf......Page 77 fulltext09.pdf......Page 93 fulltext10.pdf......Page 101 fulltext11.pdf......Page 109 fulltext12.pdf......Page 117 fulltext13.pdf......Page 132 fulltext14.pdf......Page 152 fulltext15.pdf......Page 181 fulltext16.pdf......Page 193 fulltext17.pdf......Page 207 fulltext18.pdf......Page 253 fulltext19.pdf......Page 261 fulltext20.pdf......Page 268 fulltext21.pdf......Page 277 fulltext22.pdf......Page 288 fulltext23.pdf......Page 299 fulltext24.pdf......Page 320 fulltext25.pdf......Page 362 front-matter03.pdf......Page 376 fulltext26.pdf......Page 379 fulltext27.pdf......Page 387 fulltext28.pdf......Page 395 fulltext29.pdf......Page 404 fulltext30.pdf......Page 415 fulltext31.pdf......Page 427 fulltext32.pdf......Page 438 fulltext33.pdf......Page 448 fulltext34.pdf......Page 458 fulltext35.pdf......Page 471 fulltext36.pdf......Page 482 fulltext37.pdf......Page 496 fulltext38.pdf......Page 507 fulltext39.pdf......Page 516 fulltext40.pdf......Page 534 fulltext41.pdf......Page 551 Reflects the developments in the area of wavelet analysis and its applications. This work includes topics such as: Approximation and Fourier Analysis; Construction of Wavelets and Frame Theory; Fractal and Multifractal Theory; Wavelets in Numerical Analysis; Time-Frequency Analysis; and Applications, particularly in image processing Since the corner-stone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, in some extent, wavelet analysis has often been said to be mainly an applied area. This volume reflects the developments in the area of wavelet analysis and its applications.