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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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Biorthogonal quantum criticality in non-Hermitian many-body systems
We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems...
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EEG-Based Systematic Explainable Alzheimer’s Disease and Mild Cognitive Impairment Identification Using Novel Rational Dyadic Biorthogonal Wavelet Filter Banks
Alzheimer’s disease (AD) is a frequently encountered chronic disorder. AD patients suffer from various cognitive dysfunctions. The traditional...
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All phase discrete cosine biorthogonal transform versus discrete cosine transform in digital watermarking
The field of digital image watermarking has collected considerable attention from researchers and scholars, that eventually presents interesting...
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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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A Comparative Study in Image Fusion Using Orthogonal and Biorthogonal Wavelet
A method called picture fusion is largely concerned with improving photographs to enhance scene visualization. In order to produce a composite image...
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Universality for Random Matrices with Equi-spaced External Source: A Case Study of a Biorthogonal Ensemble
We prove the edge and bulk universality of random Hermitian matrices with equi-spaced external source. One feature of our method is that we use...
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A novel automated robust dual-channel EEG-based sleep scoring system using optimal half-band pair linear-phase biorthogonal wavelet filter bank
Nowadays, the hectic work life of people has led to sleep deprivation. This may further result in sleep-related disorders and adverse physiological...
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Biorthogonal Majorana zero modes, ELC waves and soliton-fermion duality in non-Hermitian sl(2) affine Toda coupled to fermions
We study a non-Hermitian (NH) sl (2) affine Toda model coupled to fermions through soliton theory techniques and the realizations of the pseudo-chiral...
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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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Face feature extraction for emotion recognition using statistical parameters from subband selective multilevel stationary biorthogonal wavelet transform
Facial expression recognition is an extensive aspect in the field of pattern recognition and affective computing. Recognizing emotions by facial...
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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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Application of genomic signal processing as a tool for high-performance classification of SARS-CoV-2 variants: a machine learning-based approach
From the beginning of COVID-19 pandemic, numerous mutants of SARS-CoV-2 have since been evolved owing to high transmissibility and virulence. Due to...
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Method for indirect radiofluorination with [18F]FDG by biorthogonal reaction
The [ 18 F]-fluorodeoxyglucose ([ 18 F]FDG) is a universal PET—radiopharmaceutical routinely applauded (oncology, cardiology and neurology) and produced...
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Signal Adaptive Threshold for ECG Signal Compression Using False Discovery Rate Approach
This study proposes a noise-insensitive signal adaptive threshold for ECG compression that overcomes restrictions in earlier methods. The method...
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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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Mortars
We describe non-penetration conditions using biorthogonal mortars, proving that the constraint matrices arising from the discretization by some...