000			a
999			_c29620 _d29620
008			190909b xxu||||| |||| 00| 0 eng d
020			_a9781107010031
082			_a621.382201515733 _bKEN
100			_aKennedy, Rodney A.
245			_aHilbert space methods in signal processing
260			_bCambridge University Press _c2013 _aCambridge
300			_axvii, 420 p. _bill. _c25 cm
365			_b113.00 _cGBP _d10192.60
504			_aIncludes bibliographical references and index.
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			_a Information theory
650			_aSignals and signal processing
710			_aSadeghi, Parastoo
942			_2ddc _cBK