Global Pseudo-differential calculus on Euclidean spaces
著者
書誌事項
Global Pseudo-differential calculus on Euclidean spaces
（Pseudo-differential operators : theory and applications / managing editor, M.W. Wong, v. 4）
Birkhäuser, c2010
- : [pbk.]
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注記
Includes bibliographical references (p. [287]-299) and index
内容説明・目次
内容説明
This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.
目次
Background meterial.- Global Pseudo-Differential Calculus.- ?-Pseudo-Differential Operators and H-Polynomials.- G-Pseudo-Differential Operators.- Spectral Theory.- Non-Commutative Residue and Dixmier Trace.- Exponential Decay and Holomorphic Extension of Solutions.
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