The Bochner Integral and an Application to Singular Integrals
In this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then prese...
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ndltd-LACETR-oai-collectionscanada.gc.ca-NSHD.ca#10222-485882014-04-03T03:44:49ZThe Bochner Integral and an Application to Singular IntegralsPotter, Harry Thompson (Tom)Bocher IntegralSingular IntegralsMeasure and Integration theoryVector-valued analysisIn this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then present a partial vector-valued version of a classical theorem on singular integrals.2014-04-01T16:34:15Z2014-04-01T16:34:15Z2014-04-012014-02-25Thesishttp://hdl.handle.net/10222/48588en |
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NDLTD |
language |
en |
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NDLTD |
topic |
Bocher Integral Singular Integrals Measure and Integration theory Vector-valued analysis |
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Bocher Integral Singular Integrals Measure and Integration theory Vector-valued analysis Potter, Harry Thompson (Tom) The Bochner Integral and an Application to Singular Integrals |
description |
In this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then present a partial vector-valued version of a classical theorem on singular integrals. |
author |
Potter, Harry Thompson (Tom) |
author_facet |
Potter, Harry Thompson (Tom) |
author_sort |
Potter, Harry Thompson (Tom) |
title |
The Bochner Integral and an Application to Singular Integrals |
title_short |
The Bochner Integral and an Application to Singular Integrals |
title_full |
The Bochner Integral and an Application to Singular Integrals |
title_fullStr |
The Bochner Integral and an Application to Singular Integrals |
title_full_unstemmed |
The Bochner Integral and an Application to Singular Integrals |
title_sort |
bochner integral and an application to singular integrals |
publishDate |
2014 |
url |
http://hdl.handle.net/10222/48588 |
work_keys_str_mv |
AT potterharrythompsontom thebochnerintegralandanapplicationtosingularintegrals AT potterharrythompsontom bochnerintegralandanapplicationtosingularintegrals |
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1716662389348237312 |