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Quantization, PDEs, and Geometry - The Interplay of Analysis and Mathematical Physics (Hardcover, 1st ed. 2016)
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Quantization, PDEs, and Geometry - The Interplay of Analysis and Mathematical Physics (Hardcover, 1st ed. 2016)
Series: Operator Theory: Advances and Applications, 251
Expected to ship within 12 - 17 working days
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This book presents four survey articles on different topics in
mathematical analysis that are closely linked to concepts and
applications in physics. Specifically, it discusses global aspects
of elliptic PDEs, Berezin-Toeplitz quantization, the stability of
solitary waves, and sub-Riemannian geometry. The contributions are
based on lectures given by distinguished experts at a summer school
in Goettingen. The authors explain fundamental concepts and ideas
and present them clearly. Starting from basic notions, these course
notes take the reader to the point of current research,
highlighting new challenges and addressing unsolved problems at the
interface between mathematics and physics. All contributions are of
interest to researchers in the respective fields, but they are also
accessible to graduate students.
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