The dramatic changes that came about in analysis during the twentieth centuryare truly amazing. In the thirties, complex methods and Fourier series playeda seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. Nogroup structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conductingthe analysis. The authors succeed in generalizing the construction of waveletbases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose. With a preface by Yves Meyer INDICE: 1 Calderón-Zygmund Operator.- 2 Boundedness of CZO on Wavelet Space.- 3 Wavelet Expansions.- 4 Wavelets and Spaces of Functions.- 5 Non Homogeneous Spaces.
- ISBN: 978-3-540-88744-7
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 154
- Fecha Publicación: 01/01/2009
- Nº Volúmenes: 1
- Idioma: Inglés