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arXiv · 1409.6677

Pointwise Convergence of Fourier-type Series with Exponential Weights

Hee Sun Jung·Ryozi Sakai
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Abstract

Let $\mathbb{R}=(-\infty,\infty)$, and let $Q\in C^1(\mathbb{R}): \mathbb{R}\rightarrow[0,\infty)$ be an even function. We consider the exponential weights $w(x)=e^{-Q(x)}$, $x\in \mathbb{R}$. In this paper we obtain a pointwise convergence theorem for the Fourier-type series with respect to the orthonormal polynomials $\left\{p_n(w^2;x)\right\}$.

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Hee Sun Jung, Ryozi Sakai. 2014-07-22. Pointwise Convergence of Fourier-type Series with Exponential Weights. https://arxiv.org/abs/1409.6677

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