Spectral Analysis of Finite Convolution Operators |
Common terms and phrases
Abramowitz and Stegun Amer analytic and nonvanishing analytic continuation analytic function arg C(z assume asymp asymptotic behavior bounded and analytic class of functions closed half plane constant continued analytically coset cz¹ defined denote dw/w equation C(e(z examples FINITE CONVOLUTION OPERATORS form C(z func function e(z G(z₁ Gohberg half plane x≥y hypothesis infinity of order initial branch integer Invariant subspaces J(I+iL₁ K₁ Kal'muševski Kalisch Lemma let C(z Let G locally conformal log L(z log(-iz m-valent maps some half maps the half Math monodromy theorem Nauk order of growth Paley-Wiener Theorem plane x≥y plane y plane y>y problem of unicellularity proof of Theorem proved in 12 punctured disk range of C(z regular type regularly varying Sahnovič slowly varying Spectral analysis strong sense sufficiently large symbol C(z T(C+eiz Theorem 2.3 tion univalent universal covering space varying at infinity Volterra operators z₁ π²