elementary solution
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2018 ◽  
Vol 29 (2) ◽  
pp. 297-307
Author(s):  
Tom Ferragut ◽  
Carlo Petronio


2016 ◽  
Vol 303 ◽  
pp. 1171-1189 ◽  
Author(s):  
Mireille Bousquet-Mélou
Keyword(s):  


Author(s):  
L. Ephremidze ◽  
I. Spitkovsky ◽  
E. Lagvilava

A simple constructive proof of polynomial matrix spectral factorization theorem is presented in the rank-deficient case. It is then used to provide an elementary solution to the wavelets completion problem.







2011 ◽  
Vol 21 (07) ◽  
pp. 1111-1133 ◽  
Author(s):  
PEDRO V. SILVA

Several decidability problems for finite idempotent presentations of inverse monoids are solved, giving also insight into their structure. Besides providing a new elementary solution for the problem, solutions are obtained for the following problems: computing the maximal subgroups, being combinatorial, being semisimple, being fundamental, having infinite [Formula: see text]-classes. The word problem for the least fundamental quotient is also solved, with an unexpected consequence.



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