Fourier Analysis

Latest research

1. Odd-periodic low/zero ambiguity zone: Theoretical Bounds and Optimal Constructions

   • Haoran Tang
   • Chunlei Li
   • Tor Helleseth

   in Cryptography and Communications

   Article 18 October 2025

   

2. Methodologies Incorporating Cepstral Nulling for Time Series Cepstral Dissimilarity Evaluation

   • Miaotian Li
   • Ciprian Doru Giurcăneanu

   in Circuits, Systems, and Signal Processing

   Article Open access 18 October 2025

   

3. On Frames of the Form \(\{T^k \varphi \}_{k=0}^\infty \): Conditions and Characterizations

   • Jahangir Cheshmavar

   in Complex Analysis and Operator Theory

   Article 18 October 2025

4. A novel and robust Fourier-based Kolmogorov-Arnold Network in early warning of rockbursts from microseismic data

   • Hongwei Guo
   • Lele Zheng
   • Hong Zheng

   in Stochastic Environmental Research and Risk Assessment

   Article 17 October 2025

   

5. Harmonic Analysis Operators Associated with Laguerre Polynomial Expansions on Variable Lebesgue Spaces

   • Jorge J. Betancor
   • Estefanía Dalmasso
   • Roberto Scotto

   in Mediterranean Journal of Mathematics

   Article 17 October 2025

6. On Generalized Picture Fuzzy Numbers with Gaussian Membership Functions

   • Hande Günay Akdemir

   in Journal of Systems Science and Systems Engineering

   Article 17 October 2025

7. Fourier aids CNN and transformer for semantic segmentation of remote sensing images

   • Jun Wang
   • Youzhou Wu
   • Keding Wang

   in Multimedia Systems

   Article 17 October 2025

   

8. On a Hardy-Sobolev Inequality with Remainder Term and its Consequences

   • E. A. M. Abreu
   • M. F. Furtado
   • E. S. Medeiros

   in The Journal of Geometric Analysis

   Article 17 October 2025

9. EIGENFUNCTIONS OF ESSENTIAL SPECTRUM FOR THE LAPLACE OPERATOR IN ANGLE WITH ROBIN-NEUMANN BOUNDARY CONDITIONS

   • M. A. Lyalinov
   • N. S. Fedorov

   in Journal of Mathematical Sciences

   Article 16 October 2025

   

10. ON UNITARY INVARIANTS OF FAMILY OF ONE-DIMENSIONAL SUBSPACES

    • D. V. Korikov

    in Journal of Mathematical Sciences

    Article 16 October 2025

11. Kernel Adaptive Filtering Algorithm Based on Maximum Hyperbolic Secant Criterion and Error Weighted Mechanism

    • Chunman Yan
    • Shaokun Wu

    in Circuits, Systems, and Signal Processing

    Article 16 October 2025

    

12. Left and right G-Drazin inverses for Banach spaces operators

    • D. E. Ferreyra
    • D. Mosić
    • M. L. Llanes

    in Rendiconti del Circolo Matematico di Palermo Series 2

    Article 16 October 2025

13. Extension of the Beta function in several variables and applications for multivariate orthogonal polynomials

    • Nawal Helal Al-harbi
    • Mustapha Raïssouli

    in Journal of Inequalities and Applications

    Article Open access 16 October 2025

14. Investigation of generalized integral transform approach to the stability analysis of Euler-Cauchy differential equations

    • Salah Boulaaras
    • A. Selvam
    • S. Sabarinathan

    in Journal of Pseudo-Differential Operators and Applications

    Article 16 October 2025

15. Wavelets on a Riemannian compact manifold

    • Hatem Bibi

    in Indian Journal of Pure and Applied Mathematics

    Article 15 October 2025

16. Numerical investigation of some classes of singular integral equations by a robust piecewise Jacobi pseudo-spectral Galerkin approach

    • Yin Yang
    • Shanjun Chen
    • Fazlollah Soleymani

    in Computational and Applied Mathematics

    Article 15 October 2025

    

17. Extended convergence analysis of a generalized Newton-type iterative method: a unified local-semilocal approach

    • Ioannis K. Argyros
    • Harmandeep Singh
    • Michael I. Argyros

    in Computational and Applied Mathematics

    Article 15 October 2025

    

18. On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

    • Jun-Jie Quan
    • Reşat Aslan
    • Qing-Bo Cai

    in Journal of Inequalities and Applications

    Article Open access 15 October 2025

    

19. On the spectral coherence between two discrete time harmonizable simple processes

    • Zahra Nemati
    • Alireza Nematollahi
    • Somayeh Zarezadeh

    in EURASIP Journal on Advances in Signal Processing

    Article Open access 15 October 2025

    

20. Sharp Brezis–Seeger–Van Schaftingen–Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces

    • Pingxu Hu
    • Yinqin Li
    • Yangyang Zhang

    in The Journal of Geometric Analysis

    Article 15 October 2025

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