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Year: 1966 Publisher: Princeton (N.J.) : Van Nostrand,
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Year: 1957 Publisher: New York (N.Y.) : Chelsea,
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ISBN: 3540595767 9783540595762 2287003878 9782287003875 Year: 1992 Publisher: Paris : Springer,
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ISBN: 3111172473 3111169898 Year: 2023 Publisher: Berlin : De Gruyter,
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"This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory"--
ISBN: 3764315415 Year: 1983 Publisher: Basel : Birkhäuser,
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ISBN: 9056991892 Year: 2000 Publisher: Amsterdam : Gordon and Breach,
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ISBN: 1584881968 Year: 2001 Publisher: Boca Raton (Fla.) : Chapman & Hall/CRC,
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Exact eigenvalues, eigenvectors, and principal vectors of operators with infinite dimensional ranges can rarely be found. Therefore, one must approximate such operators by finite rank operators, then solve the original eigenvalue problem approximately. This book addresses this issue of solving eigenvalue problems for operators on infinite dimensional spaces. From a review of classical spectral theory, through approximation techniques, to ideas for further research that would extend the results described, this volume serves as both a text for graduate students and as a source of state-of-the-art results for research scientists.
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Differential equations --- Spectral theory (Mathematics). --- Numerical solutions.
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Year: 1976 Publisher: Paris : PUF,
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ISBN: 9783034807326 Year: 1996 Publisher: Basel : Springer,
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Hamiltonian operator. --- Selfadjoint operators. --- Spectral theory (Mathematics).
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