Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and it 在線電子書 圖書標籤:
發表於2024-11-14
Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and it 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or half-spaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes. Results arising from these analytical techniques have proved useful in many applications, particularly those related to stereology. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets.
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Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and it 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024