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Original Article
Unifying Transforms for Singular Cauchy Problems in Quantum Logistics, Supply Chain Resilience, and Energy Systems
Padmaja G1
1 Independent Researcher, Pune, India.
Published Online: July-August 2026
Pages: 71-76
Cite this article
↗ https://www.doi.org/10.59256/ijire.20260704010References
1. I M Gelfand & G E Shilov, “Generalized Functions, Vol 1-6, Academic Press, New York, 1968.
2. V Irina, Melnikova, Stochastic Cauchy Problems in Infinite Dimensions, generalized and regular Solutions, Melnikova, CRC Press, Taylor and Francis Group, 1964.
3. Akashan Gulhane, “A review of resilience in global supply chains: strategies, challenges, and future directions,” International Engineering Journal for Research & Development, vol. 8, no. 4, (2024a). [Online]. Available: https://iejrd.com/index.php/article/view/3140
4. Akarshan Gulhane, “Weaving Resilience Navigating Internal and External Complexities in Modern Supply Chains,” International Journal of Ingenious Research, Invention and Development, vol. 3, no. 1, (2024b). [Online]. Available: https://www.ijirid.in/3-1-24Feb/3-1-16-Akarshan%20Gulhane-Shilpa%20Malge-Eshant%20Rajgure-Pooja%20Deshpande.pdf
5. Akarshan Gulhane, “Battery sizing for plug-in hybrid electric vehicles — Formula hybrid,” in Proc. IEEE Int. Conf. Power, Control, Signals and Instrumentation Engineering (ICPCSI), (2017), pp. 368-372.
6. B. Fisher, “The Dirac delta functions and the change of variables,” Math Student, vol. 32, pp. 28-32, 1974.
7. Akarshan Gulhane, “Advancements In Automotive Batteries: A Review,” International Engineering Journal For Research & Development, vol. 8, no. 6, 2023. [Online]. Available: https://iejrd.com/index.php/article/view/3141
8. Akarshan Gulhane, “The Future of Vehicles: Solar-Powered Battery Electric Hybrid Vehicle Architecture,” Tech Briefs, 2020. [Online]. Available: https://contest.techbriefs.com/(2020)/entries/automotive-transportation/10457
9. Akarshan Gulhane, “Power line carrier communication based anti-theft system,” Int. J. Res. IT Manage., vol. 4, no. 12, pp. 1-11, (2014a).
10. Akarshan Gulhane, “Swipe Controller,” Int. J. Res. Eng. Technol., (2014b).
11. L. Schwartz, “Théorie des Distributions, Hermann, Paris, 1950.
12. A. H. Zemanian, Realizability Theory for Continuous Linear Systems, Academic Press, New York, 1968.
13. Yu. A. Brychkov and A. P. Prudnikov, “Integral Transforms of Generalized Functions, Gordon and Breach Science Publishers, 1968.
14. I. N. Sneddon, “The Use of Integral Transforms, McGraw Hill, New York, 1972.
15. N. Teofanov, “Gelfand-Shilov spaces & pseudodifferential operators,” Sampling Theory in Signal and Image Processing, vol. 5, no. 2, pp. 225–242, 2006.
16. A. H. Robertson, “Topological Vector Spaces, Cambridge Univ. Press, Cambridge, 1972.
17. E. Cordero, S. Pilipovic, L. Rodino, and N. Teofanov, “Quasianalytic Gelfand-Shilov spaces with application to localization operators,” Rocky Mountain J. Math., vol. 40, no. 4, pp. 1123-1147, 2010.
18. H. G. Feichtinger, K. Gröchenig, and D. Walnut, “Wilson bases and modulation spaces,” Math. Nachr., vol. 155, pp. 7–17, 1992.
19. J. Toft, “The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators,” J. Pseudo-Differ. Oper. Appl., vol. 3, pp. 145–227, 2012.
20. N. Teofanov, “Gelfand-Shilov spaces, Gevrey classes, and related topics,” Prague seminar on function spaces, Prague, 2017, pp. 1-57.
21. Akarshan Gulhane, “Navigating the Quantum Revolution in Logistics: Opportunities and Practical Applications in Supply Chain Management,” Int. J. Eng. Techniques, vol. 12, no. 3, pp. 553-556, (2026a).
22. Akarshan Gulhane, “Quantum Computing for Logistics Optimization: Annealing in Unit Load Device Configuration and Disruption Management,” Int. J. Res. Publication and Reviews, vol. 7, no. 6, pp. 4643-4648, (2026b). [Online]. Available: https://ijrpr.com/uploads/V7ISSUE6/IJRPR67069.pdf
23. S.J.L. van Eijndhoven, “Functional analytic characterizations of the Gelfand-Shilov spaces,” Proc. A, vol. 90, no. 2, pp. 133-144, 1987.
24. Weinberg, S. J. et al. (2023). Supply chain logistics with quantum and classical annealing algorithms. Scientific Reports.
2. V Irina, Melnikova, Stochastic Cauchy Problems in Infinite Dimensions, generalized and regular Solutions, Melnikova, CRC Press, Taylor and Francis Group, 1964.
3. Akashan Gulhane, “A review of resilience in global supply chains: strategies, challenges, and future directions,” International Engineering Journal for Research & Development, vol. 8, no. 4, (2024a). [Online]. Available: https://iejrd.com/index.php/article/view/3140
4. Akarshan Gulhane, “Weaving Resilience Navigating Internal and External Complexities in Modern Supply Chains,” International Journal of Ingenious Research, Invention and Development, vol. 3, no. 1, (2024b). [Online]. Available: https://www.ijirid.in/3-1-24Feb/3-1-16-Akarshan%20Gulhane-Shilpa%20Malge-Eshant%20Rajgure-Pooja%20Deshpande.pdf
5. Akarshan Gulhane, “Battery sizing for plug-in hybrid electric vehicles — Formula hybrid,” in Proc. IEEE Int. Conf. Power, Control, Signals and Instrumentation Engineering (ICPCSI), (2017), pp. 368-372.
6. B. Fisher, “The Dirac delta functions and the change of variables,” Math Student, vol. 32, pp. 28-32, 1974.
7. Akarshan Gulhane, “Advancements In Automotive Batteries: A Review,” International Engineering Journal For Research & Development, vol. 8, no. 6, 2023. [Online]. Available: https://iejrd.com/index.php/article/view/3141
8. Akarshan Gulhane, “The Future of Vehicles: Solar-Powered Battery Electric Hybrid Vehicle Architecture,” Tech Briefs, 2020. [Online]. Available: https://contest.techbriefs.com/(2020)/entries/automotive-transportation/10457
9. Akarshan Gulhane, “Power line carrier communication based anti-theft system,” Int. J. Res. IT Manage., vol. 4, no. 12, pp. 1-11, (2014a).
10. Akarshan Gulhane, “Swipe Controller,” Int. J. Res. Eng. Technol., (2014b).
11. L. Schwartz, “Théorie des Distributions, Hermann, Paris, 1950.
12. A. H. Zemanian, Realizability Theory for Continuous Linear Systems, Academic Press, New York, 1968.
13. Yu. A. Brychkov and A. P. Prudnikov, “Integral Transforms of Generalized Functions, Gordon and Breach Science Publishers, 1968.
14. I. N. Sneddon, “The Use of Integral Transforms, McGraw Hill, New York, 1972.
15. N. Teofanov, “Gelfand-Shilov spaces & pseudodifferential operators,” Sampling Theory in Signal and Image Processing, vol. 5, no. 2, pp. 225–242, 2006.
16. A. H. Robertson, “Topological Vector Spaces, Cambridge Univ. Press, Cambridge, 1972.
17. E. Cordero, S. Pilipovic, L. Rodino, and N. Teofanov, “Quasianalytic Gelfand-Shilov spaces with application to localization operators,” Rocky Mountain J. Math., vol. 40, no. 4, pp. 1123-1147, 2010.
18. H. G. Feichtinger, K. Gröchenig, and D. Walnut, “Wilson bases and modulation spaces,” Math. Nachr., vol. 155, pp. 7–17, 1992.
19. J. Toft, “The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators,” J. Pseudo-Differ. Oper. Appl., vol. 3, pp. 145–227, 2012.
20. N. Teofanov, “Gelfand-Shilov spaces, Gevrey classes, and related topics,” Prague seminar on function spaces, Prague, 2017, pp. 1-57.
21. Akarshan Gulhane, “Navigating the Quantum Revolution in Logistics: Opportunities and Practical Applications in Supply Chain Management,” Int. J. Eng. Techniques, vol. 12, no. 3, pp. 553-556, (2026a).
22. Akarshan Gulhane, “Quantum Computing for Logistics Optimization: Annealing in Unit Load Device Configuration and Disruption Management,” Int. J. Res. Publication and Reviews, vol. 7, no. 6, pp. 4643-4648, (2026b). [Online]. Available: https://ijrpr.com/uploads/V7ISSUE6/IJRPR67069.pdf
23. S.J.L. van Eijndhoven, “Functional analytic characterizations of the Gelfand-Shilov spaces,” Proc. A, vol. 90, no. 2, pp. 133-144, 1987.
24. Weinberg, S. J. et al. (2023). Supply chain logistics with quantum and classical annealing algorithms. Scientific Reports.
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