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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Geometric Applications of Fourier Series and Spherical Harmonics

Geometric Applications of Fourier Series and Spherical Harmonics

Rota, G. -C
Groemer, H.
Groemer, Helmut

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 61

General MathematicsProbability & Statistics

ISBN10: 0521473187
ISBN13: 9780521473187
Publisher: Cambridge University Press
Published: Sep 13 1996
Pages: 344
Weight: 1.51
Height: 1.00 Width: 6.53 Depth: 9.59
Language: English
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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