notesum.ai

Published at December 3

math.NA

cs.NA

41A25, 65D32, 94A20

Released Date: December 3, 2024

Authors: Felix Bartel¹, Lutz Kämmerer¹, Kateryna Pozharska², Martin Schäfer¹, Tino Ullrich¹

Aff.: ¹Chemnitz University of Technology; ²NAS of Ukraine

Input:	$\Omega$	compact topological space and Borel probability measure $\mu$
	$\varphi_{1},\dots,\varphi_{n}\colon\Omega\to\mathds{C}$	mutually orthonormal and continuous functions on $\Omega$ w.r.t. $\mu$
Output:	$(x_{i})_{i}$ and $(\mu_{i})_{i}$	satisfying (3.9) and $\mu_{i}$ summing up to $1$ , $i=1,\dots,N+1$