Preliminaries

Valery V. Volchkov and Vitaly V. Volchkov
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Valery V. Volchkov: Donetsk National University, Department of Mathematics
Vitaly V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 1 in Offbeat Integral Geometry on Symmetric Spaces, 2013, pp 3-42 from Springer

Abstract: 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.

Keywords: Entire Function; Open Neighborhood; Spherical Harmonic; Regular Point; Transcendental Function (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0572-8_1

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DOI: 10.1007/978-3-0348-0572-8_1

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