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Abstract Harmonic Analysis of Continuous Wavelet Transforms
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Math...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Lecture Notes in Mathematics,
1863 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 020 | |a 9783540315520 |9 978-3-540-31552-0 | ||
| 024 | 7 | |a 10.1007/b104912 |2 doi | |
| 050 | 4 | |a QA403-403.3 | |
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| 100 | 1 | |a Führ, Hartmut. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Abstract Harmonic Analysis of Continuous Wavelet Transforms |h [electronic resource] / |c by Hartmut Führ. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2005. | |
| 300 | |a X, 193 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1863 | |
| 505 | 0 | |a Introduction -- Wavelet Transforms and Group Representations -- The Plancherel Transform for Locally Compact Groups -- Plancherel Inversion and Wavelet Transforms -- Admissible Vectors for Group Extension -- Sampling Theorems for the Heisenberg Group -- References -- Index. | |
| 520 | |a This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a - reasonably self-contained - exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula. | ||
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 1 | 4 | |a Abstract Harmonic Analysis. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540806608 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540242598 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1863 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b104912 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||