Orthogonal Trigonometric Sums with Auxiliary Conditions |
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Contents
Exceptional Values of the Subscript | 14 |
Recursion Formulas | 19 |
ChristoffelDarboux Identities | 25 |
4 other sections not shown
Common terms and phrases
arbitrary constant arbitrary function assumed augmented matrix auxiliary conditions b₂ C₁ c₂ Christoffel-Darboux Identities coefficients condition of orthonormality continuous function convergence corresponding defined different from zero E₁ E₂ entire interval equations exceptional values exist non-trivially expressible in terms F₁(t F₂(t Fa(t finite number form 11 Fourier Series func function f(x Hence I₁ identically zero interval of length J₁ Jackson Laplace's equation Let p(x liary conditions linear combination linear independence matrix number of points orthogonal functions Orthogonal Polynomials Orthogonal Trigonometric Sums orthonormality with respect period interval positive measure recursion formulas S₂ satisfying the auxiliary satisfying the conditions series 28 set of points Sn(x subscript sum of lower sum of order summable theorem tions trigono trigonometric sums satisfying un(x uniformly bounded V₁ v₂(x Vn(x weight function Wolfgange Gröbner X-IT y₁ Y₂(x