Authoritative text presenting a broad view of the spectral theory of non-self-adjoint linear operators.
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E. Brian Davies is a Professor of Mathematics at King's College London and a Fellow of the Royal Society. This is his seventh book.
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Condition: New. Authoritative text presenting a broad view of the spectral theory of non-self-adjoint linear operators. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 464 pages, 15 b/w illus. 274 exercises. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 235 x 160 x 28. Weight in Grams: 768. . 2007. 1st Edition. hardcover. . . . . Seller Inventory # V9780521866293
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Hardcover. Condition: new. Hardcover. This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator. This authoritative text presents a broad view of the spectral theory of non-self-adjoint linear operators and contains many illustrative examples and exercises. Topics discussed include Fredholm theory, Hilbert-Schmidt and trace class operators, one-parameter semigroups, perturbations of their generators and a thorough account of the new theory of pseudospectra. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521866293
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Condition: New. pp. xii + 451. Seller Inventory # 26405282