Studies in Exponential Polynomials |
Common terms and phrases
Analytic Continuation apply Lemma approximated arbitrarily arbitrary interval arbitrary sum assertion follows Beurling bounded linear functional boundedness property C₁ C₂ characteristic function compact support concave function consequently Consider an arbitrary Consider an interval convergence Corollary defined definition denote e¹¹ e¹¹² easily seen eizt existence exp 10ix v₁ exponential f is mean-periodic f₁ F₂ finite interval finite number following lemma follows that F Fourier transform function f Hahn-Banach theorem harmonic transform Hence I₁ inequality integer interpolation is possible Kahane 9 L₁ Laplace transforms linear vector space Mean-periodic Function metric Minkowski's inequality Nordlander notion Paley and Wiener Parseval's formula polynomial positive numbers proof is complete prove pseudo-periodic real number regular everywhere satisfies Schwartz's semi-regular sequence Suppose Theorem 2.2 tion translations U₁ uniformly vector space y²N zero