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This exposition introduces new developments of pseudo-differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to pseudo-differential structures and establishes new insight to building up singular operators in corresponding operator algebras with symbolic structures.
Researchers in the field will find the presented techniques in this book a valuable resource and inspiration for their own projects.
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Der-Chen Chang is a professor and McDevitt Chair in Mathematics and Computer Science in the Department of Mathematics and Statistics. He also serves as senior advisor to the Provost for China initiatives.
Bert-Wolfgang Schulze is Emeritus Professor at the University of Potsdam, Germany. He has authored 15 books and is an editor for various journals and book series in the fields of Partial Differential Equations and Pseudo-Differential Operators. He is the initiator of the yearly conference on "Microlocal and global analysis, interactions with geometry" in Potsdam.
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