Suppose we have a subspace \(\mathbb{S}\) of \(\mathbb{R}^n\) whose basis consists of \(k\) vectors \(\vec{v}_1,\vec{v}_2, \ldots , \vec{v}_k\). \[ \mathbb{S ...
Abstract: The intention of this paper is to explore an implementation of audio compression and explain the theory behind each of the approaches taken. At its core, audio compression relies on ...
In this paper we consider the self-commutators of Toeplitz operators Tφ with rational symbols φ using the classical Hermite-Fejér interpolation problem. Our main theorem is as follows. Let φ = ḡ + f ∈ ...
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