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I Polinomi sferici e le Armoniche Sferiche

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I Polinomi sferici e le Armoniche Sferiche

Relatore: Mariano Gentile

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Sommario

In questo lavoro si introdurranno i polinomi sfericiPn(Sd), determinando una base

ortogonale per tale spazio sulla sfera d-dimensionale Sd. In particolare,

conside-reremo le propriet´a fondamentali delle armoniche sferiche, ponendo particolare attenzione alla loro costruzione e al fatto che forniscono una base ortogonale per Pn(Sd).

In this talk we will introduce the space of spherical polynomials Pn(Sd),

deter-mining an orthogonal basis for this space over the d-dimensional sphere Sd. In

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Bibliografia

• KENDALL ATKINSON AND WEIMIN HAN. Spherical harmonics and

approximations on the unit sphere: An introduction, Springer

• CLAUS MULLER. Spherical Harmonics, Lecture Notes in Mathematics,

Vol. 17 Springer, New York, 1966

• THOMAS MURRAY MACROBERT. Spherical harmonics - An elementary

treatise on harmonic functions, with applications, Meuthen and Co., 1948

Riferimenti

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