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The Analysis Research
Group at Kansas State University engages in a wide
variety of research topics in the areas of classical analysis, complex
analysis, harmonic analysis, partial differential equations, operator
theory, and functional analysis. More specifically, these topics
include
complex dynamics, geometric function theory, hyperbolic PDE's,
dispersive
PDE's, non-linear elliptic PDE's, free boundary problems, non-linear
elasticity, theoretical numerical analysis, convex geometry, Fourier
analysis, several complex variables, non-commutative functional
analysis, wave propagation and scattering, inverse scattering
problems, inverse and ill-posed problems, mathematics of
signal and image processing, tomography. |