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Sharp Boundedness and Stability Estimates for Pseudodifferential Operators Associated with Fractional Hankel--Clifford Transforms

This paper establishes sharp operator-norm and composition bounds for pseudodifferential operators associated with the fractional Hankel–Clifford transform via a closed-form evaluation of a geometric moment integral, and applies these results to derive a stability estimate for a singular Bessel-type Cauchy problem while identifying the specific obstruction to a four-parameter extension.

Balasaheb B. Waphare2026-06-25

🔢 mathematics

Stability and Bifurcation Routes in a Delayed Quadratic Map with Recursive Filtered Memory

This study analytically and numerically characterizes the stability and bifurcation routes of a delayed quadratic map with recursive filtered memory, demonstrating how delay and memory parameters govern fold, flip, and conditional complex-pair transitions within a three-dimensional polynomial framework.

Hafidh Khoerul Fata, Yosephus Decupertino Sumanto, Robertus Heri Soelistyo Utomo2026-06-25

🔢 mathematics

Analytical and Gegenbauer spectral solutions of damped wave equations with singular potentials in ℝn

This paper presents a comprehensive analytical and numerical study of multi-dimensional damped wave equations with singular potentials, establishing rigorous convergence and stability results for an eigenfunction expansion solution while developing a high-order Gegenbauer collocation method that achieves algebraic convergence rates consistent with the singularity-induced regularity loss.

Youssri Hassan Youssri, Zafar Duman Abbasov, Lamine Bouzettouta, Amal Alhujaylan, Khaled Zennir2026-06-25

🔢 mathematics

Cost-sensitive spectral sampling algorithms for randomized block Kaczmarz methods

This paper formulates the selection of an optimal static sampling distribution for randomized block Kaczmarz methods as a cost-sensitive E-optimal design problem solvable via semidefinite programming, and proposes two certified algorithms that significantly outperform standard uniform or norm-based sampling by accounting for both row-space redundancy and varying computational costs.

Shreyhaan Sarkar2026-06-24

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