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Equations of the First Kind

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Book cover Linear Integral Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 82))

Abstract

Compact operators cannot have a bounded inverse. Therefore, equations of the first kind with a compact operator provide a typical example for so called ill-posed problems. In this chapter we introduce methods for the stable solution of equations of the first kind in a Hilbert space setting.

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© 1989 Springer-Verlag Berlin Heidelberg

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Kress, R. (1989). Equations of the First Kind. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97146-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-97146-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97148-8

  • Online ISBN: 978-3-642-97146-4

  • eBook Packages: Springer Book Archive

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