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Examples of Indexed PIP-Spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1986)

Abstract

This chapter is devoted to a detailed analysis of various concrete examples of pip-spaces. We will explore sequence spaces, spaces of measurable functions, and spaces of analytic functions. Some cases have already been presented in Chapters 1 and 2. We will of course not repeat these discussions, except very briefly. In addition, various functional spaces are of great interest in signal processing (amalgam spaces, modulation spaces, Besov spaces, coorbit spaces). These will be studied systematically in a separate chapter (Chapter 8).

Keywords

  • Hilbert Space
  • Banach Space
  • Hardy Space
  • Sequence Space
  • Bergman Space

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Correspondence to Jean-Pierre Antoine .

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© 2009 Springer-Verlag Berlin Heidelberg

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Antoine, JP., Trapani, C. (2009). Examples of Indexed PIP-Spaces. In: Partial Inner Product Spaces. Lecture Notes in Mathematics(), vol 1986. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05136-4_4

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