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Conjugate functions, relationship to Complex Variables, harmonic functions.
The space A consists of complex continuous functions on the unit circle T whose conjugate function is also continuous.
Smirnov worked on diverse areas of mathematics, such as complex functions and conjugate functions in Euclidean spaces.
Conjugate Functions in Two Dimensions.
The real and imaginary part of any holomorphic function yield harmonic functions on R (these are said to be a pair of harmonic conjugate functions).
We managed to stabilize the conjugate function this morning, and now we're reading probe resonance harmonics in the sigma-tau spectrum - and at full strength, not low level.
He received there in 1961 his Ph.D. under Henry Helson with thesis Marcel Riesz's theorem on conjugate functions.
Topological conjugacy is important in the study of iterated functions and more generally dynamical systems, since, if the dynamics of one iterated function can be solved, then those for any topologically conjugate function follow trivially.