On the Structure of Positive Semi-Definite Finite Rank General Domain Hankel and Toeplitz Operators in Several Variables
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DOI: 10.1007/s11785-016-0596-6
Abstract: Multivariate versions of the Kronecker theorem in the continuous multivariate setting has recently been published, that characterize the generating functions that give rise to finite rank multidimensional Hankel and Toeplitz type operators defined on general… read more here.
Keywords: semi definite; toeplitz; positive semi; hankel toeplitz ... See more keywords
Positive semi-definite 2 × 2 block matrices and norm inequalities
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DOI: 10.1016/j.laa.2018.03.046
Abstract: Abstract Let M = [ A X X ⁎ B ] ∈ C 2 n × 2 n be positive semi-definite 2 × 2 block matrix, where A , B , X ∈ C n… read more here.
Keywords: semi definite; positive semi; definite block; norm ... See more keywords
Two Channel Filter Banks on Arbitrary Graphs With Positive Semi Definite Variation Operators
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DOI: 10.1109/tsp.2023.3257983
Abstract: We propose novel two-channel filter banks for signals on graphs. Our designs can be applied to arbitrary graphs, given a positive semi definite variation operator, while using arbitrary vertex partitions for downsampling. The proposed generalized… read more here.
Keywords: filter banks; arbitrary graphs; positive semi; two channel ... See more keywords