| 000 | 02534nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-31552-0 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101749.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100806s2005 gw | s |||| 0|eng d | ||
| 020 |
_a9783540315520 _9978-3-540-31552-0 |
||
| 024 | 7 |
_a10.1007/b104912 _2doi |
|
| 050 | 4 | _aQA403-403.3 | |
| 072 | 7 |
_aPBKD _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.785 _223 |
| 100 | 1 |
_aFühr, Hartmut. _eauthor. |
|
| 245 | 1 | 0 |
_aAbstract Harmonic Analysis of Continuous Wavelet Transforms _h[electronic resource] / _cby Hartmut Führ. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
|
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
|
| 300 |
_aX, 193 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1863 |
|
| 505 | 0 | _aIntroduction -- 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 | _aThis 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 | _aMathematics. | |
| 650 | 0 | _aHarmonic analysis. | |
| 650 | 0 | _aFourier analysis. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAbstract Harmonic Analysis. |
| 650 | 2 | 4 | _aFourier Analysis. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540242598 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1863 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b104912 |
| 942 |
_2EBK28 _cEBK |
||
| 999 |
_c29322 _d29322 |
||