scholarly journals Euclidean algorithm for Laurent polynomial matrix extension—A note on dual-chain approach to construction of wavelet filters

2015 ◽  
Vol 38 (2) ◽  
pp. 331-345 ◽  
Author(s):  
Jianzhong Wang
Keyword(s):  
Polynomial Matrix ◽  
Laurent Polynomial ◽  
Euclidean Algorithm ◽  
Wavelet Filters ◽  
Matrix Extension

scholarly journals On non-optimal spectral factorizations

2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Lasha Ephremidze ◽  
Ivan Selesnick ◽  
Ilya Spitkovsky
Keyword(s):  
Matrix Function ◽  
Polynomial Matrix ◽  
Laurent Polynomial

AbstractFor a given Laurent polynomial matrix function

Parametrizations of All Wavelet Filters: Input-Output and State-Space

2013 ◽  
Vol 12 (2-3) ◽  
pp. 159-188
Author(s):  
Daniel Alpay ◽  
Palle Jorgensen ◽  
Izchak Lewkowicz
Keyword(s):  
State Space ◽  
Input Output ◽  
Wavelet Filters

scholarly journals LAURENT POLYNOMIAL LANDAU–GINZBURG MODELS FOR COMINUSCULE HOMOGENEOUS SPACES

2021 ◽  
Author(s):  
PETER SPACEK
Keyword(s):  
Homogeneous Space ◽  
Homogeneous Spaces ◽  
Laurent Polynomial ◽  
Complete Intersections ◽  
Laurent Polynomials ◽  
Young Diagrams ◽  
Similar Shape ◽  
Algebraic Torus ◽  
The One ◽  
Polynomial Potentials

AbstractIn this article we construct Laurent polynomial Landau–Ginzburg models for cominuscule homogeneous spaces. These Laurent polynomial potentials are defined on a particular algebraic torus inside the Lie-theoretic mirror model constructed for arbitrary homogeneous spaces in [Rie08]. The Laurent polynomial takes a similar shape to the one given in [Giv96] for projective complete intersections, i.e., it is the sum of the toric coordinates plus a quantum term. We also give a general enumeration method for the summands in the quantum term of the potential in terms of the quiver introduced in [CMP08], associated to the Langlands dual homogeneous space. This enumeration method generalizes the use of Young diagrams for Grassmannians and Lagrangian Grassmannians and can be defined type-independently. The obtained Laurent polynomials coincide with the results obtained so far in [PRW16] and [PR13] for quadrics and Lagrangian Grassmannians. We also obtain new Laurent polynomial Landau–Ginzburg models for orthogonal Grassmannians, the Cayley plane and the Freudenthal variety.

scholarly journals An algorithm for matrix extension and wavelet construction

1996 ◽  
Vol 65 (214) ◽  
pp. 723-738 ◽  
Author(s):  
W. Lawton ◽  
S. L. Lee ◽  
Zuowei Shen
Keyword(s):  
Matrix Extension
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