Temple University 3 credits MATH
This course presents a rapid introduction to modern tools of Harmonic Analysis. These tools are relevant to problems in a very dynamic area of mathematics at the interface of several branches such as Fourier Analysis, Functional Analysis, Partial Differential Equations, Index Theory, and Geometric Measure Theory. Topics of focus include Hardy spaces, singular integrals, maximal operators, functions of bounded and vanishing mean oscillation, square functions, applications to elliptic partial differential equations in the upper half space.
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