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Introductory Functional Analysis

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Operator Theory for Electromagnetics

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Abstract

The purpose of this chapter is to introduce basic elements of functional analysis, especially those concepts necessary for a study of the operators arising in electromagnetics. The main idea is to start with the simple concept of a set and then introduce increasing levels of mathematical structure. The goal is to gradually build the foundation for understanding the concept and utility of formulating problems in an appropriate function space, usually a Hilbert or Banach space.

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Authors and Affiliations

  1. Department of Electrical Engineering and Computer Science, University of Wisconsin, 53211, Milwaukee, WI, USA

    George W. Hanson

  2. Department of Electrical Engineering, University of Mississippi, 38677, University, MS, USA

    Alexander B. Yakovlev

Authors
  1. George W. Hanson
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  2. Alexander B. Yakovlev
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Hanson, G.W., Yakovlev, A.B. (2002). Introductory Functional Analysis. In: Operator Theory for Electromagnetics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3679-3_2

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  • DOI: https://doi.org/10.1007/978-1-4757-3679-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2934-1

  • Online ISBN: 978-1-4757-3679-3

  • eBook Packages: Springer Book Archive

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