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Part of the book series: Atlantis Studies in Mathematics for Engineering and Science ((ASMES,volume 13))

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Abstract

In January or early February of 1976, I was wondering about some suitable topics for my B.Sc. thesis at the Department of Automatics and Informatics, the Faculty of Electronics, University of Niš. I asked advices from my elder brother Miomir S. Stanković, a professor of mathematics at the University of Niš. The immediate answer was You should learn about Walsh and Haar functions, and in few days he brought to me a couple of the Proceedings of Workshops on Walsh Functions and Applications held in Washington, D.C., and promised to find all of them for me. I spent few months, until November 1976, reading related papers, at about 75 of them, and writing the thesis that was defended on November 17.

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References

  1. Butzer, P.L., Stanković, R.S. (edit.), Theory and Applications of Gibbs Derivatives: Proceedings of the First International Workshop on Gibbs Derivatives held September 26-28, 1989 at Kupari-Dubrovnik, Yugoslavia, Matematički Institut, Beograd, 1990.

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  2. *Gibbs, J.E., Simpson, Jill, “Differentiation on finite Abelian groups”, NPL DES Rept, No.14, 1974, ii+34.

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  3. Special issue of Facta Univ. Ser.: Elec. Energ., Vol. 21, No. 3, December 2008, collecting selected papers from Workshop on Discrete Analysis and Applications held on September 27-29, 2008 in Thessaloniki, Greece, Karanikas, C., Atreas, N., Stanković, R.S., (Guest editors).

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  4. Karpovsky, M.G., Finite Orthogonal Series in the Design of Digital Devices (Analysis, Synthesis and Optimization), Wiley, New York, 1976, xii+251.

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  5. Stanković, R.S., “Linear harmonic translation invariant systems on finite non-Abelian groups”, in Cybernetics and Systems ’86, R. Trappl (Ed.), Reidel, Dordrecht, 1986, 103-110.

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  6. Stanković, R.S., (ed.), Walsh and Dyadic Analysis, Proceedings of the Workshop, Niš, Serbia, October 18-19, 2007, Elektornski fakultet, Niš, Serbia, 2008, ISBN 978-86-85195-47-1.

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  7. Stanković, R.S., Astola, J.T., Gibbs Derivatives - the First Forty Years, TICSP Series # 39, Tampere International Center for Signal Processing, Tampere University of Technology, Tampere, Finland, 2008, ISSN 1456-2774, ISBN 978-952-15-1973-4.

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Correspondence to Radomir S. Stanković .

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Stanković, R.S. (2015). My Research in Gibbs Derivatives on Finite Groups. In: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations. Atlantis Studies in Mathematics for Engineering and Science, vol 13. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-163-5_8

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