Index Abel, Niels Henrik test, 111–112 theorem, 211, 213, 246 abelian theorem, 123 Achieser, Naum Il’ich, 182, 377 adjoint, 343 analytic function, 22 annulus, 12 arc length, 5 Argand, Jean-Robert, 31–32 arithmetic function, 36 arithmetic progression, 1 Baker, Alan, 89, 377 Barker, Ronald Hugh polynomial, 166 Benedetto, John Joseph, 52, 278, 377 Bernoulli, Daniel, 88 Bernoulli, Jakob, 247 number, 221 polynomial, 83, 152, 220–229 Bernstein, Sergei Natanovich, 377 inequality, 158–162, 182 theorem, 184 Beurling, Arne trigonometric polynomial, 152 binomial coefficient, 291 theorem, 291–298 negative, 296 Boas, Ralph Philip, Jr., 182 ocher, Maxime, 88, 377 Bochner, Salomon, 247 Bois-Reymond, Paul David Gustav du, 210, 377 Bonaparte, Napoleon Emperor, theorem, 15 Borwein, Jonathan Michael, 338, 377 Borwein, Peter Benjamin, 182, 338, 377 Burger, Edward Bruce, 89, 377 Cantor, Georg Ferdinand Ludwig Philipp, 89, 378 function, 185–188, 194 cardinal series, 274 Carleson, Lennart Axel Edvard, 210, 378 Catalan, Eug` ene Charles number, 298 Cauchy, Augustin Louis, 31, 182, 278, 378 convolution, 241, 295 inequality, 3, 135, 340–341 sequence, 3 Ces` aro, Ernesto summability, 91–110, 121, 123, 134 Chebyshev, Pafnuty Lvovich polynomials, 299–308 of the first kind, 299 of the second kind, 304 Christoffel, Elwin Bruno, 84 completeness for Lp, 8 of R, 4 completing the square, 2 complex exponential with period 1, 34 385
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