Item type | Current location | Call number | Status | Date due | Barcode |
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Books | 621.382201515733 KEN (Browse shelf) | Available | 032055 |
621.3822015152433 MAL Wavelet tour of signal processing | 621.3822015152433 STA Fourier analysis on finite groups with applications in signal processing and system design | 621.382201515723 BIG Transforms and fast algorithms for signal analysis and representations | 621.382201515733 KEN Hilbert space methods in signal processing | 621.38220151635 BLA Algebraic codes on lines, planes, and curves : an engineering approach | 621.3822015195 DIE Linear estimation and detection in Krylov subspaces | 621.38220151955 FLA Explorations in time-frequency analysis |
Includes bibliographical references and index.
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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