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Hilbert Space Methods in Signal Processing (Hardcover, New)
Loot Price: R3,749
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Hilbert Space Methods in Signal Processing (Hardcover, New)
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This 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.
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