| 000 | 02591nam a22004098a 4500 | ||
|---|---|---|---|
| 001 | CR9780511751677 | ||
| 003 | UkCbUP | ||
| 005 | 20160624102301.0 | ||
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| 007 | cr|||||||||||| | ||
| 008 | 100420s2011||||enk s ||1 0|eng|d | ||
| 020 | _a9780511751677 (ebook) | ||
| 020 | _z9780521175616 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
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| 050 | 0 | 0 |
_aQA406 _b.M37 2011 |
| 082 | 0 | 0 |
_a523.101/5195 _223 |
| 100 | 1 |
_aMarinucci, Domenico, _eauthor. |
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| 245 | 1 | 0 |
_aRandom Fields on the Sphere : _bRepresentation, Limit Theorems and Cosmological Applications / _cDomenico Marinucci, Giovanni Peccati. |
| 260 | 1 |
_aCambridge : _bCambridge University Press, _c2011. |
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| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2011. |
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| 300 |
_a1 online resource (356 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 389 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). | ||
| 520 | _aRandom Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets. | ||
| 650 | 0 | _aSpherical harmonics | |
| 650 | 0 | _aRandom fields | |
| 650 | 0 | _aCompact groups | |
| 700 | 1 |
_aPeccati, Giovanni, _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521175616 |
| 786 | _dCambridge | ||
| 830 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 389. |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9780511751677 |
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_2EBK12233 _cEBK |
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| 999 |
_c41527 _d41527 |
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