Perturbation of Orthogonal Fourier Expansions
Copyright policy )Perturbation of Orthogonal Fourier Expansions
In this paper, a generalized Jacobi measure on [-1, 1] is perturbed by exponentials of functionsbof bounded mean oscillation. If we consider the Fourier series in orthogonal polynomials associated to each modification, then certain estimates (uniform inn∈N andbbelonging to some neighbourhood of the origin) are obtained. As a consequence, the partial sum operators depend analytically on the functional parameterb. The case of the Bessel series is also considered. © 1998 Academic Press.
- University of Zaragoza Spain
- Universidad de Zaragoza (UNIZAR)/INA Spain
- University of La Rioja Spain
Mathematics(all), Numerical Analysis, Fourier–Jacobi series, BMO space, Applied Mathematics, General harmonic expansions, frames, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Bessel functions, Fourier expansion, generalized Jacobi weights, Fourier-Jacobi series, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel series, Ap weights, Analysis, BMO
Mathematics(all), Numerical Analysis, Fourier–Jacobi series, BMO space, Applied Mathematics, General harmonic expansions, frames, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Bessel functions, Fourier expansion, generalized Jacobi weights, Fourier-Jacobi series, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel series, Ap weights, Analysis, BMO
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