A structured visual guide to the major mathematical areas and their relationships.
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This section surveys 42 Harmonic analysis on Euclidean spaces and highlights the main ideas, methods, and applications associated with the area.
This subtopic studies Fourier analysis in one variable, covering transforms, orthogonality, convergence, and the role of Fourier methods in analysis and applications.
This subtopic studies Fourier analysis in several variables, emphasizing multi-dimensional transforms, product structure, and the geometry of frequency domains.
This subtopic studies nontrigonometric harmonic analysis, including wavelets, orthogonal systems, and other bases used to represent functions in modern analysis.