Park City Mathematics Institute
Undergraduate Summer School 2018
Introduction to Harmonic Analysis
- A polynomial if and only if
- Let , and consider its orthogonal projection onto the space with respect to the inner product seen in class. Then is harmonic. (Hint: Prove for every .)
- If , then is harmonic on .
- The spaces are invariant under rotations , i.e. if then for any rotation .
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