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Download Analysis, Geometry And Topology of Elliptic Operators: by Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, PDF

By Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, Weiping Zhang

Smooth thought of elliptic operators, or just elliptic concept, has been formed via the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic concept over a wide variety, 32 prime scientists from 14 assorted nations current contemporary advancements in topology; warmth kernel options; spectral invariants and slicing and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. the 1st of its type, this quantity is superb to graduate scholars and researchers drawn to cautious expositions of newly-evolved achievements and views in elliptic conception. The contributions are in accordance with lectures offered at a workshop acknowledging Krzysztof P Wojciechowski's paintings within the idea of elliptic operators.

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Additional resources for Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski

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Wojciechowski, Spectral flow and the general linear conjugation problem, Simon Stevin 59 (1985), 59-91. 22 26. Matthias , operator, 27. , operator, 28. , smooth, 444. Lesch The additivity of the rj-invariant. The case of an invertible tangential H o u s t o n J. M a t h . 2 0 (1994), 6 0 3 - 6 2 1 . The additivity of the n-invariant. The case of a singular tangential C o m m . M a t h . P h y s . 1 0 9 (1995), 315-327. The ^-determinant and the additivity of the n-invariant on the self-adjoint Grassmannian, C o m m .

Boston, MA, 1993. 5. J. Briining and M. Lesch, On the r)-invariant of certain nonlocal boundary value problems, Duke Math. J. 96 (1999), 425-468. 6. U. Bunke, On the gluing formula for the n-invariant, J. Differential Geom. 41 (1995), 397-448. 7. D. Burghelea, L. Friedlander, and T. Kappeler, Mayer-Vietoris type formula for determinants of differential operators, J. Funct. Anal. 107 (1992), 34-65. 8. -P. Calderon, Boundary value problems for elliptic equations, 1963 Outlines Joint Sympos. Partial Differential Equations (Novosibirsk, 1963) pp.

Lesch The additivity of the rj-invariant. The case of an invertible tangential H o u s t o n J. M a t h . 2 0 (1994), 6 0 3 - 6 2 1 . The additivity of the n-invariant. The case of a singular tangential C o m m . M a t h . P h y s . 1 0 9 (1995), 315-327. The ^-determinant and the additivity of the n-invariant on the self-adjoint Grassmannian, C o m m . M a t h . P h y s . 2 0 1 (1999), 4 2 3 - Received by the editors September 14, 2005; revised January 5, 2006 Analysis, Geometry and Topology of Elliptic Operators, pp.

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