Results 111 to 120 of about 2,041 (214)
CLT for the zeros of Classical Random Trigonometric Polynomials
, 2016 18 pagesInternational audienceWe prove a Central Limit Theorem for the number of zeros of random trigonometric polynomials of the form $K^{-1/2}\sum_{n=1}^{K} a_n\cos(nt)$, being $(a_n)_n$ independent standard Gaussian random variables. In particular, we
Azaïs, Jean-Marc +2 more
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On Some Trigonometrical Polynomials.
MATHEMATICA SCANDINAVICA, 1967 Izumi, Masako, Izumi, Shin-Ichi
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Positive trigonometric polynomials
, 2003 We study the boundary of the nonnegative trigonometric polynomials from the algebraic point of view. In particularly, we show that it is a subset of an irreducible algebraic hypersurface and established its explicit form in terms of resultants.
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Positivity of Trigonometric Polynomials
, 2003 The paper introduces a modi cation of the well-known sum-ofsquares relaxation scheme for semi-algebraic programming by Shor [1], based on replacing the ordinary polynomials by their trigonometric counterparts.
Alexandre Megretski
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A Bairstow's type method for trigonometric polynomials
, 1994 this paper an analogous method to Bairstow's one, for trigonometric polynomials with real coefficients.
Ion Ichim, Ionel Molnar
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Factorization of non-negative operator valued trigonometric polynomials in two variables
, 2016 Schur complements provide a convenient tool for proving the operator valued version of the classical (single variable) Fej\\u27er-Riesz problem. It also enables the factorization of multivariable trigonometric polynomials which are strictly positive. A
Dritschel, Michael
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Random Sampling of Multivariate Trigonometric Polynomials
, 2004 We investigate when a trigonometric polynomial p of degree M in d variables is uniquely determined by its sampled values p(x j ) on a random set of points x j in the unit cube (the "sampling problem for trigonometric polynomials") and ...
Gröchenig, K. +3 more
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A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]
Sci DataDana Mazraeh H +3 more
europepmc +1 more source
On Diophantine approximation and trigonometric polynomials [PDF]
Pacific Journal of Mathematics, 1959 openaire +3 more sources
Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials
, 2000 Знайдено асимптотичні рівності для верхніх меж наближень інтерполяційними тригонометричними многочленами на класах згорток періодичних функцій, що допускають регулярне продовження у фіксовану смугу комплексної площини.We obtain asymptotic equalities for ...
Степанец, А.И. +1 more
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