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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.
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ISSN: 3108-1754 (Online)
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ISO Certification: 9001:2015
Publication Fee: 599/- INR
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License: CC BY 4.0
Peer Review: Double Blind
Volume 02, Issue 8

Published on: August 2026

DISTRIBUTIONAL EXTENSION OF THE FKF TRANSFORM AND ITS RELEVANCE TO SUPPLY-CHAIN SYSTEMS

Akarshan Gulhane

PTC Software Inc.
DOI:https://doi.org/10.55041/ijcope.v2i8.137

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Plagiarism Passed Peer Reviewed Open Access

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Abstract

This paper develops the distributional theory of the FKF transform and demonstrates its relevance to the analysis of modern supply-chain systems. The FKF transform combines a Fourier factor that captures temporal oscillations, frequencies and lead-time cycles with a Kontorovich–Lebedev (KL) factor built from the Macdonald function of imaginary order. The latter is naturally adapted to positive scale, distance or intensity variables that arise throughout logistics networks. After reviewing the classical definition on suitable testing-function spaces, the transform is extended to a broad class of generalized functions in the sense of Zemanian. The distributional extension permits idealized impulses, abrupt demand shocks, capacity collapses and other singular forcing terms to be treated within a single rigorous spectral framework. Applications to supply-chain resilience, disruption modelling, multi-scale inventory intensity and digital-twin spectral diagnostics are discussed. Numerical approximation formulae for discrete operational data are also provided, together with recommendations for future research and computational practice.

How to Cite this Paper

Gulhane, A. (2026). Distributional Extension of the FKF Transform and Its Relevance to Supply-Chain Systems. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(8), 1-9. https://doi.org/10.55041/ijcope.v2i8.137

Gulhane, Akarshan. "Distributional Extension of the FKF Transform and Its Relevance to Supply-Chain Systems." 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.v2i8.137.

Gulhane, Akarshan. "Distributional Extension of the FKF Transform and Its Relevance to Supply-Chain Systems." 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.v2i8.137.

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References


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  • •Peer Review Type: Double-Blind Peer Review
  • •Published on: Aug 17 2026
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