Frames for undergraduates
著者
書誌事項
Frames for undergraduates
(Student mathematical library, v. 40)
American Mathematical Society, c2007
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注記
Includes bibliographical references (p. 287-290) and index
内容説明・目次
内容説明
Frames for Undergraduates is an undergraduate-level introduction to the theory of frames in a Hilbert space. This book can serve as a text for a special-topics course in frame theory, but it could also be used to teach a second semester of linear algebra, using frames as an application of the theoretical concepts. It can also provide a complete and helpful resource for students doing undergraduate research projects using frames.
目次
Introduction Linear algebra review Finite-dimensional operator theory Introduction to finite frames Frames in $\mathbb{R}^2$ The dilation property of frames Dual and orthogonal frames Frame operator decompositions Harmonic and group frames Sampling theory Student presentations Anecdotes on frame theory projects by undergraduates Bibliography List of symbols Index.
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