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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