主题词：Mathematical Analysis and Transform Methods; Advanced Harmonic Analysis Research; Spectral Theory in Mathematical Physics; Advanced Mathematical Physics Problems; Image and Signal Denoising Methods; Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Differential Equations and Boundary Problems; Holomorphic and Operator Theory; Nonlinear Differential Equations Analysis; advanced mathematical theories; Fractional Differential Equations Solutions; Numerical methods in inverse problems; Algebraic and Geometric Analysis; Digital Filter Design and Implementation; Stability and Controllability of Differential Equations; Mathematical functions and polynomials; Advanced Algebra and Geometry; Advanced Banach Space Theory; Advanced Operator Algebra Research; Approximation Theory and Sequence Spaces; Geometric Analysis and Curvature Flows; Nonlinear Waves and Solitons; Differential Equations and Numerical Methods; Seismic Imaging and Inversion Techniques