IJCOPE Journal

UGC Logo DOI / ISO Logo

International Journal of Creative and Open Research in Engineering and Management

A Peer-Reviewed, Open-Access International Journal Supporting Multidisciplinary Research, Digital Publishing Standards, DOI Registration, and Academic Indexing.
Journal Information
ISSN: 3108-1754 (Online)
Crossref DOI: Available
ISO Certification: 9001:2015
Publication Fee: 599/- INR
Compliance: UGC Journal Norms
License: CC BY 4.0
Peer Review: Double Blind
Volume 02, Issue 8

Published on: August 2026

SEQUENTIAL CONVERGENCE IN THE TESTING FUNCTION SPACE OF THE TWO-SIDED FKF TRANSFORM

Akarshan Gulhane

PTC Software Inc
DOI:https://doi.org/10.55041/ijcope.v2i8.138

Article Status

Plagiarism Passed Peer Reviewed Open Access

Available Documents

Download PDF Review Report

Abstract

The Fourier–Kontorovich–Lebedev (FKF) transform is a hybrid integral transform whose kernel is the product of a Fourier exponential factor and the Macdonald function of purely imaginary order. Its rigorous extension to generalized functions rests on a carefully constructed testing-function space equipped with a countable family of seminorms. This paper presents a detailed mathematical account of convergence in that testing space. We define the multinorm topology, state the precise notion of sequential convergence, contrast it with weaker pointwise notions, and explain why the topological formulation is indispensable for justifying differentiation under the transform sign, passage of limits, continuity of the distributional pairing, and spectral monitoring applications in multi-scale supply-chain systems. Illustrative figures depict seminorm decay, the underlying domain Ω, the spectral plane, and the distinction between pointwise and topological residuals.

How to Cite this Paper

Gulhane, A. (2026). Sequential Convergence in the Testing Function Space of the Two-Sided FKF Transform. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(8), 1-9. https://doi.org/10.55041/ijcope.v2i8.138

Gulhane, Akarshan. "Sequential Convergence in the Testing Function Space of the Two-Sided FKF Transform." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 8, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i8.138.

Gulhane, Akarshan. "Sequential Convergence in the Testing Function Space of the Two-Sided FKF Transform." International Journal of Creative and Open Research in Engineering and Management 02, no. 8 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i8.138.

Search & Index

Google Scholar Crossref DOI ResearchGate

References


  • Matani, “Improving Energy Efficiency by Controlling Mechanical Losses Of Electric Motors In SMEs And SSIs,” International Journal of Mechanical and Production Engineering Research and Development (IJMPERD), Vol. 3, Issue 4, pp. 63–68, Oct. 2013.

  • Gulhane, “Internet of Things, Artificial Intelligence, and Quantum Computing: A Convergent Framework for Smart Logistics Ecosystems,” International Journal of Engineering Science and Advanced Technology (IJESAT), Vol. 24, Issue 12, pp. 297–317, 2024.

  • Gulhane, “Industry 5.0 and Intelligent Logistics: Transforming Supply Chain Operations through Human-Centric Automation,” International Journal of Engineering Science and Advanced Technology (IJESAT), Vol. 24, Issue 12, pp. 287–296, 2024.

  • Gulhane, “Advancements in Automotive Batteries: A Review,” International Engineering Journal for Research & Development, Vol. 8, Issue 6, pp. 18–57, 2023.

  • Gulhane, “The Future of Vehicles: Solar-Powered Battery Electric Hybrid Vehicle Architecture,” Tech Briefs Contest, 2020.

  • Gulhane, “Digital Twin Technology for Building Resilient and Adaptive Global Supply Chains: A Review,” International Research Journal of Modernization in Engineering Technology and Science, Vol. 6, Issue 12, 2024. DOI: 10.56726/IRJMETS64992.

  • Gulhane, “Artificial Intelligence Applications in Sustainable Logistics and Green Supply Chain Management: A Bibliometric Review,” International Research Journal of Modernization in Engineering Technology and Science, Vol. 6, Issue 12, 2024. DOI: 10.56726/IRJMETS65006.

  • Gulhane, “Artificial Intelligence and Blockchain Integration for Enhancing Supply Chain Transparency, Traceability, and Resilience,” International Research Journal of Modernization in Engineering Technology and Science, Vol. 6, Issue 12, 2024. DOI: 10.56726/IRJMETS65016.

  • Gulhane, “Power Line Carrier Communication Based Anti-Theft System,” International Journal of Research in IT and Management (IJRIM), Vol. 4, Issue 12, pp. 1–11, 2014.

  • Gulhane, “Battery Sizing for Plug-in Hybrid Electric Vehicles — Formula Hybrid,” IEEE International Conference on Power, Control, Signals and Instrumentation Engineering (ICPCSI), pp. 368–372, 2017. DOI: 10.1109/ICPCSI.2017.8392317.

Ethical Compliance & Review Process

  • •All submissions are screened under plagiarism detection.
  • •Review follows editorial policy.
  • •Authors retain copyright.
  • •Peer Review Type: Double-Blind Peer Review
  • •Published on: Aug 17 2026
CCBYNC

This article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. You are free to share and adapt this work for non-commercial purposes with proper attribution.

View License
Back to Volume 02, Issue 8View All Issues Next Article

← Previous Article

SENTINEL-X: An Edge-AI Command-and-Control Framework for Real-Time Perimeter Surveillance and Border Security in India

Next Article →

Shakespeare And the Purgatory World: Memory, Ghost
Scroll to Top