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Spectral Theory of Linear Operators

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Operator Theory for Electromagnetics

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Abstract

In this chapter we examine the spectral properties of operators commonly encountered in electromagnetics. We emphasize the role of eigenvalues and eigenfunctions in spectral theory since these quantities play an important role in many applications, as both mathematical and physical entities. The primary goal of this chapter is to present elements from the spectral theory of operators on infinite-dimensional spaces. Operators on finitedimensional spaces and their associated matrix representations are also briefly covered, as this material forms an appropriate starting point for discussion.

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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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© 2002 Springer Science+Business Media New York

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Hanson, G.W., Yakovlev, A.B. (2002). Spectral Theory of Linear Operators. In: Operator Theory for Electromagnetics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3679-3_4

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  • DOI: https://doi.org/10.1007/978-1-4757-3679-3_4

  • 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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