| Type of Document |
Dissertation |
| Author |
Christensen, Jens Gerlach
|
| Author's Email Address |
vepjan@math.lsu.edu |
| URN |
etd-07092009-141954 |
| Title |
Function Spaces, Wavelets and Representation Theory |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Gestur Olafsson |
Committee Chair |
| Boris Rubin |
Committee Member |
| Mark Davidson |
Committee Member |
| Oliver Dasbach |
Committee Member |
| William Adkins |
Committee Member |
| Wei-Hsung Wang |
Dean's Representative |
|
| Keywords |
- Wavelets
- coorbit spaces
- light cone
|
| Date of Defense |
2009-06-26 |
| Availability |
unrestricted |
Abstract
This dissertation is concerned with the interplay between the theory of Banach spaces and representations of groups. The wavelet transform has proven to be a useful tool in characterizing and constructing Banach spaces, and we investigate a generalization of an already known technique due to H.G. Feichtinger and K. Gröchenig. This generalization is presented in Chapter 3, and in Chapters 4 and 5 we present examples of spaces which can be described using the theory. The first example clears up a question regarding a wavelet characterization of Bergman spaces related to a non-integrable representation. The second example is a wavelet characterization of Besov spaces on the forward light cone.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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christensendiss.pdf |
1.02 Mb |
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