Wandering vectors for unitary systems and orthogonal wavelets / Xingde Dai, David R. Larson.

Format:

Book

Author/Creator:

Dai, Xingde, 1946- author.

Larson, David R., 1942- author.

Series:

Memoirs of the American Mathematical Society ; no. 640.

Memoirs of the American Mathematical Society, 0065-9266 ; number 640

Language:

English

Subjects (All):

Wavelets (Mathematics).

Operator theory.

Functional analysis.

Physical Description:

1 online resource (82 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1998]

Language Note:

English

Summary:

Investigates topological and structural properties of the set W(U) of all complete wandering vectors for a system U of unitary operators acting on a Hilbert space. The authors parameterize W(U) in terms of a fixed vector y and the set of all unitary operators which locally commute with U at y. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Contents:

""Contents""; ""Introduction""; ""Chapter 1. The Local Commutant""; ""Chapter 2. Structural Theorems""; ""Chapter 3. The Wavelet System (D,T)""; ""Chapter 4. Wavelet Sets""; ""Chapter 5. Operator Interpolation of Wavelets""; ""Chapter 6. Concluding Remarks""; ""1. Unitary Equivalence""; ""2. Higher Dimensional Systems""; ""3. Multiresolution Analysis""; ""4. A Connection With Some Work of Guido Weiss""; ""5. Status of Problems""; ""6. Examples""; ""7. Acknowledgments""; ""Appendix: Examples of Interpolation Maps""; ""Bibliography""

Notes:

"July 1998, volume 134, number 640 (end of volume)."

Includes bibliographical references (68).

Description based on print version record.

ISBN:

1-4704-0229-7