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UBC Theses and Dissertations
Symmetrization, green’s functions, harmonic measures and difference equations Pruss, Alexander Robert
Abstract
Symmetrization methods transform functions or sets into functions or sets having desirable features such as symmetry or some kind of convexity. We consider whether the values of various functionals do or do not increase under the transformation. First, we answer in the negative a question of W. K. Hayman (1967) on the precise way that Green's functions increase under circular rearrangement. Next we study symmetrization techniques in discrete cases, obtaining convolution-rearrangement inequalities of the form ...........
Item Metadata
| Title |
Symmetrization, green’s functions, harmonic measures and difference equations
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1996
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| Description |
Symmetrization methods transform functions or sets into functions or sets having desirable
features such as symmetry or some kind of convexity. We consider whether the values of
various functionals do or do not increase under the transformation.
First, we answer in the negative a question of W. K. Hayman (1967) on the precise way that
Green's functions increase under circular rearrangement.
Next we study symmetrization techniques in discrete cases, obtaining convolution-rearrangement
inequalities of the form ...........
|
| Extent |
18862681 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-02-18
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0079810
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
1996-05
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
|
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.