000			02561nam a22003498i 4500
001			CR9780511844515
003			UkCbUP
005			20200124160329.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101028s2013||||enk o ||1 0|eng|d
020			_a9780511844515 (ebook)
020			_z9781107010031 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA322.4 _b.K46 2013
082	0	4	_a621.382201515733 _223
100	1		_aKennedy, Rodney A. _c(Engineer), _eauthor.
245	1	0	_aHilbert space methods in signal processing / _cRodney A. Kennedy, Australian National University, Canberra, Parastoo Sadeghi, Australian National University, Canberra.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (xvii, 420 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Introduction -- 2. Spaces -- 3. Introduction to operators -- 4. Bounded operators -- 5. Compact operators -- 6 Integral operators and their kernels -- 7. Signals and systems on 2-sphere -- 8. Advanced topics on 2-sphere -- 9. Convolution on 2-sphere -- 10. Reproducing kernel Hilbert spaces -- Answers to problems.
520			_aThis lively and accessible book describes the theory and applications of Hilbert spaces and also presents the history of the subject to reveal the ideas behind theorems and the human struggle that led to them. The authors begin by establishing the concept of 'countably infinite', which is central to the proper understanding of separable Hilbert spaces. Fundamental ideas such as convergence, completeness and dense sets are first demonstrated through simple familiar examples and then formalised. Having addressed fundamental topics in Hilbert spaces, the authors then go on to cover the theory of bounded, compact and integral operators at an advanced but accessible level. Finally, the theory is put into action, considering signal processing on the unit sphere, as well as reproducing kernel Hilbert spaces. The text is interspersed with historical comments about central figures in the development of the theory, which helps bring the subject to life.
650		0	_aSignal processing _xMathematics.
650		0	_aHilbert space.
700	1		_aSadeghi, Parastoo, _eauthor.
776	0	8	_iPrint version: _z9781107010031
856	4	0	_uhttps://doi.org/10.1017/CBO9780511844515
999			_c522435 _d522433