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The Bochner integral and an application to singular integrals

Author: Harry Thompson (Tom) (2014-04-01) Potter; Dalhousie University. Department of Mathematics & Statistics - Math Division,
Publisher: Halifax, NS : Dalhousie University, 2014. ©2014 .
Dissertation: Thesis M.Sc. Dalhousie University, 2014.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation   Computer File : English
Summary:
ABSTRACT: 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.
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Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Harry Thompson (Tom) (2014-04-01) Potter; Dalhousie University. Department of Mathematics & Statistics - Math Division,
OCLC Number: 990166984
Notes: Title from PDF title page (viewed June 14, 2017).
Thesis supervisor: Keith Taylor
Description: 1 online resource (iv, 57 leaves).
Responsibility: by Harry Thompson (Tom) Potter.

Abstract:

ABSTRACT: 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.

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