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Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach
The paper deals with the controllability properties of the Kawahara equation posed on a periodic domain. We show that the equation is exactly...
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Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests
We study probability measures on partitions based on symmetric Grothendieck polynomials. These deformations of Schur polynomials introduced in the...
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Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure
We give the strong asymptotic of Cauchy biorthogonal polynomials under the assumption that the defining measures are supported on bounded...
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Biorthogonal Boundary Multiwavelets
The discrete wavelet transform is defined for functions on the entire real line. One way to implement the transform on a finite interval is by using...
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The rational Heun operator and Wilson biorthogonal functions
We consider the rational Heun operator defined as the most general second-order q -difference operator which sends any rational function of type
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Revisiting Biorthogonal Polynomials: An LU Factorization Discussion
The Gauss–Borel or LU factorization of Gram matrices of bilinear forms is the pivotal element in the discussion of the theory of biorthogonal...
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Biorthogonal Wavelet Packets in \(H^s(\mathbb {K})\)
The concepts of multiresolution analysis(MRA), wavelets, and biorthogonal wavelets in Sobolev space over local fields of positive characteristic (
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Mortars
We describe non-penetration conditions using biorthogonal mortars, proving that the constraint matrices arising from the discretization by some...
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Quasilinear Interpolation by Minimal Splines
The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for...
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Asymptotic of Cauchy Biorthogonal Polynomials
We consider sequences of biorthogonal polynomials with respect to a Cauchy-type convolution kernel and give the weak and ratio asymptotic of the...
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On Various Equations of the Analytical Mechanics of Thick-Walled Heterogeneous Shells and Some of Their Applications in Wave Dispersion Problems
AbstractA new variational formulation for the linear hierarchical theory of thick heterogeneous orthotropic shells resulting in the equations...
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Biorthogonal Systems of Analytic Functions Generated by a Regular Triangle
We consider the properties of biorthogonal systems induced by a convolution operator with Carleman kernel for a regular triangle. This is a perturbed...
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Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method
In this article, we compute the exact value of the minimal null control time for the Grushin equation controlled on a strip. This result is already...
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hp-Finite Elements with Decoupled Constraints for Elastoplasticity
The paper considers an hp-finite element discretization for a model problem of elastoplasticity with linear kinematic hardening. The use of...
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Wavelet adaptive proper orthogonal decomposition for large-scale flow data
The proper orthogonal decomposition (POD) is a powerful classical tool in fluid mechanics used, for instance, for model reduction and extraction of...
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An Algebraic Approach to Degenerate Appell Polynomials and Their Hybrid Forms via Determinants
It is remarkable that studying degenerate versions of polynomials from algebraic point of view is not limited to only special polynomials but can...
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Construction Biorthogonal Wavelets and Frames
In this chapter, basic properties of biorthogonal wavelets on positive real lines and Vilenkin groups, frames on Cantor group, Parseval frames on...
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On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems
AbstractWe develop a consistent perturbative technique for obtaining a time-local linear master equation based on projection methods in the case...
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Hermite multiwavelets for manifold-valued data
In this paper we present a construction of interpolatory Hermite multiwavelets for functions that take values in nonlinear geometries such as...