Imposing the constraints
F is real-valued and absolutely continuous with respect to Lebesgue measure (dω) on T°
F′ = f, which exists by (2.1), is a strictly positive, even, continuous density on T° which is of bounded variation
0 < δ < f(ω) < Γ < ∞ for all ω ε [0, π] (δ and Γ fixed and independent of f and n)
f has an absolutely convergent Fourier (cosine) series on [0, π].
KeywordsHilbert Space Harmonic Function Lebesgue Measure Unit Disk Topological Group
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