Frames for Undergraduates

Buch | Softcover

2007
American Mathematical Society (Verlag)
978-0-8218-4212-6 (ISBN)

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Offers an introduction to the theory of frames in a Hilbert space. This book teaches linear algebra, using frames as an application of the theoretical concepts. It provides a resource for students doing undergraduate research projects using frames. It presents chapters that contain the topics from linear algebra that students need to know.

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.

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.

Erscheint lt. Verlag	1.1.2008
Reihe/Serie	Student Mathematical Library
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	365 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8218-4212-9 / 0821842129
ISBN-13	978-0-8218-4212-6 / 9780821842126
Zustand	Neuware