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Preliminaries

In: Offbeat Integral Geometry on Symmetric Spaces

Author

Listed:
  • Valery V. Volchkov

    (Donetsk National University, Department of Mathematics)

  • Vitaly V. Volchkov

    (Donetsk National University, Department of Mathematics)

Abstract

The aim of this chapter is to acquaint the reader with some tools of analysis on Euclidean spaces. We recall the definition and basic properties of quasi-analytic classes, distributions and convolutions. In addition, the necessary information concerning the analytic wave front set and spherical harmonics is presented. We shall also give basic formulas for special functions that will be used many times later. The system of notation in this chapter is preserved throughout the book.

Suggested Citation

  • Valery V. Volchkov & Vitaly V. Volchkov, 2013. "Preliminaries," Springer Books, in: Offbeat Integral Geometry on Symmetric Spaces, edition 127, chapter 0, pages 3-42, Springer.
  • Handle: RePEc:spr:sprchp:978-3-0348-0572-8_1
    DOI: 10.1007/978-3-0348-0572-8_1
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