Harmonic Analysis

concepts · 6 notes linked

Related: Representation Theory · Group Theory · Lie Algebras · Fourier Transform · Singular Integrals · Hermann Weyl · Fritz Peter · Fourier Analysis

Notes

• Calderon-Zygmund lemma - Wikipedia — Decomposition lemma partitioning functions into good and bad parts
• Compact group - Wikipedia — Topological groups with compact topology and their complete representation theory
• Fourier analysis - Wikipedia — Decomposing functions into sums of trigonometric or complex exponential components
• Harmonic analysis - Wikipedia — Mathematical analysis decomposing functions via symmetries scales and spectra
• Peter–Weyl theorem - Wikipedia — Harmonic analysis decomposition theorem for compact topological groups
• Representation theory - Wikipedia — Studying abstract algebra via linear transformations of vector spaces