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Orthogonal Polynomials

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Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

In this chapter, we introduce polynomial function systems that are orthogonal with respect to a scalar product characterized by a measure \(\mathrm{d} \uplambda\). We start with some very general results from Fourier analysis (see, e.g., Davis 1963; Reed and Simon 1972; Rudin 1991; Yoshida 1980), before we begin to specifically consider polynomials.

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Freeden, W., Gutting, M. (2013). Orthogonal Polynomials. In: Special Functions of Mathematical (Geo-)Physics. Applied and Numerical Harmonic Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0563-6_3

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