Modulation spaces, BMO and the Zak transform, and minimizing IPH functions over the unit simplex

Modulation spaces, BMO and the Zak transform, and minimizing IPH functions over the unit simplex

This thesis consists of two parts. In the first chapter, we give some results on modulation spaces. First the relationship between the classical spaces and the modulation spaces is established. It is proved that certain modulation spaces defined on R² lie in the BMO space. Another result is that th...

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Bibliographic Details
Main Author: Tinaztepe, Ramazan
Published: Georgia Institute of Technology 2010
Subjects:
Cutting angle method
IPH functions
Zak transform
BMO
Modulation spaces
Moduli theory
Transformations (Mathematics)
Gabor transforms
Mathematical optimization
Spaces of homogeneous type
Online Access:http://hdl.handle.net/1853/34659

Internet

http://hdl.handle.net/1853/34659

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