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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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Volume 02, Issue 8

Published on: August 2026

MAPPING OF THE KONTOROVICH–LEBEDEV TRANSFORM ONTO THE SPECTRAL FRAMEWORK FOR RESILIENT SUPPLY-CHAIN SYSTEMS

V. A. Sharma

Department of Mathematics, Arts, Commerce and Science College, Amravati
DOI:https://doi.org/10.55041/ijcope.v2i8.174

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Abstract

The Kontorovich–Lebedev (KL) transform, built upon the Macdonald function of purely imaginary order, occupies a central position in the spectral theory of continuous groups and in the analysis of radially symmetric problems on the hyperbolic plane. The present paper supplies a self-contained account of the classical analytic machinery of the KL transform definition, formal adjoint, inversion formulae, uniform estimates and large-order decay and then maps each of these ingredients onto the corresponding constructions that appear in the contemporary FKF literature. Particular attention is paid to the weighted space that constitutes the natural domain of the operator, to the exponential decay that legitimates aggressive spectral truncation, and to the distributional extensions that permit the treatment of discontinuous logistics signals. The resulting dictionary demonstrates that the rapid decay of the Macdonald kernel is precisely the analytic engine underlying spectral filtering of high frequency supply shocks, residue-based resonance extraction in hybrid vehicle logistics networks, and exact time-shift and modulation properties used for lead-time analysis. All twenty-eight references of the accompanying corpus are cited and related to the classical theory.

 

Keywords: Kontorovich–Lebedev transform, Macdonald function, FKF transform, distributional extension, spectral truncation, supply-chain resilience, multi-scale logistics, time-shift property, hybrid-vehicle systems.

How to Cite this Paper

Sharma, V. A. (2026). Mapping of the Kontorovich–Lebedev Transform onto the Spectral Framework for Resilient 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.v2i8.174

Sharma, V.. "Mapping of the Kontorovich–Lebedev Transform onto the Spectral Framework for Resilient 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.v2i8.174.

Sharma, V.. "Mapping of the Kontorovich–Lebedev Transform onto the Spectral Framework for Resilient 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.v2i8.174.

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References


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  • Akarshan Gulhane,“ Spectral Framework Based on the FKF Transform for Supply Chain Dynamics and Resilience,” International Journal of Creative and Open Research in Engineering and Management ISSN: 3108-1754 (Online) Volume 02 Issue 08 Augustl-2026, DOI:  https://doi.org/10.55041/ijcope.v2i8.140

  • Akarshan Gulhane,“ Spectral Differential Properties of the Distributional FKF Transform with Applications to Resilient Supply-Chain Systems,” International Journal of Creative and Open Research in Engineering and Management ISSN: 3108-1754 (Online) Volume 02 Issue 08 Augustl-2026, DOI:  https://doi.org/10.55041/ijcope.v2i8.139

  • Akarshan Gulhane,“ FKL Transform Key Properties, And Applications To Supply-chain Analysis,” International journal of Engineering sciences and Advanced Technology, Published:11-12-2025, Issue: Vol. 25 No. 12 (2025), Page Nos: 596-605, DOI: Https://doi.org/10.64771/ijesat.2025.v25.i12.3816

  • Akarshan Gulhane,“ Expanded Treatment Of The Time-Shift Property Of FKF Transform With Supply-Chain Applications,” International journal of Engineering sciences and Advanced Technology, Published:11-12-2025, Issue: Vol. 25 No. 12 (2025), Page Nos: 606 – 616, DOI: Https://doi.org/10.64771/ijesat.2025.v25.i12.3817

  • Akarshan Gulhane,“ The FKF Transform: Exponential Modulation Properties And Applications To Secure Digital Supply-Chain Networks,” International journal of Engineering sciences and Advanced Technology, Published:11-12-2025, Issue: Vol. 25 No. 12 (2025), Page Nos: 617 – 623, DOI: Https://doi.org/10.64771/ijesat.2025.v25.i12.3818

  • Akarshan Gulhane, “Spectral Differential Properties of the Distributional FKF Transform with Applications to Resilient Supply-Chain Systems,” International Journal of Creative and Open Research in Engineering and Management ISSN: 3108-1754 (Online) Volume 02 Issue 08 Augustl-2026, DOI: https://doi.org/10.55041/ijcope.v2i8.139.

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  • •Peer Review Type: Double-Blind Peer Review
  • •Published on: Aug 21 2026
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