Harmonic Approximation
โ Scribed by Stephen J. Gardiner
- Publisher
- Cambridge University Press
- Year
- 1995
- Tongue
- English
- Leaves
- 144
- Series
- London Mathematical Society Lecture Note Series
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
New York: Cambridge University Press, 1995, โ 145 p.<div class="bb-sep"></div>The quasi-harmonic approximation is a phonon-based model of solid-state physics used to describe volume-dependent thermal effects, such as the thermal expansion. It is based on the assumption that the harmonic approximatio
1 Spherical Harmonics.- 2 Convolution and Spherical Harmonic Expansion.- 3 Littlewood-Paley Theory and Multiplier Theorem.- 4 Approximation on the Sphere.- 5 Weighted Polynomial Inequalities.- 6 Cubature Formulas on Spheres.- 7 Harmonic Analysis Associated to Reflection Groups.- 8 Boundedness of Pr
<p>These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intend