Ph.D. in Mathematics
University of Salerno, Fisciano, Italy
Mälardalen University, Västerås, Sweden

M.S. in Telecommunication Engineering
University of Naples Federico II, Naples, Italy

B.S. in Telecommunication Engineering
University of Naples Federico II, Naples, Italy

Calculus I

A native of Agropoli, Southern Italy and a graduate of University of Naples Federico II, Southern Italy, Emanuel Guariglia obtained a PhD degree in Mathematics from the University of Salerno, Southern Italy in 2017. Emanuel Guariglia was guest PhD student for 18 months at the Mälardalen University, Sweden. During his PhD program, he was awarded the Best Student Award for the scientific paper “A functional derivative for the Riemann zeta fractional derivative” at the ICNPAA 2016 World Congress in La Rochelle, France.

Returned to Italy in 2017, he was adjunct professor of Calculus and Statistics in several Italian universities (e.g., University of Rome La Sapienza, University of Bologna).  In 2020, he won a postdoctoral position at the São Paulo State University, Brazil in wavelet analysis and its applications.

Guariglia’s research interests include fractional calculus, fractal geometry, functional analysis, and their applications. He is currently the Editor of several Scientific Journals in these areas (e.g., Fractals, Mathematics). He edited different Special Issues in these research topics. In particular, his papers shed new light on fractional calculus of zeta functions.

Wavelet analysis, fractional calculus, fractal geometry, applied functional analysis, analytic number theory, harmonic analysis, PDEs, chaos theory.

– February 2021–August 2022
Adjunct Professor (Calculus, Probability), Sapienza University of Rome, Rome, Italy.

– February 2021–March 2022
Adjunct Professor (Calculus), University of Salerno, Fisciano, Italy.

– March 2021–February 2022
Postdoctoral position at São Paulo State University (UNESP), Brazil.

Project title: “Frequency, shape-related information and prime numbers: the Discrete Transform’s third generation (DST-III)”.

– October 2018–September 2020
Adjunct Professor (Calculus, Probability), University of Bologna, Bologna, Italy.

– September 2018–March 2020
Adjunct Professor (Calculus, Probability), University of Brescia, Brescia, Italy.

– Winner of the Best Student Award for the paper “A functional equation for the Riemann zeta fractional derivative” at the ICNPAA 2016 Mathematical Problems on Engineering, Aerospace and Sciences, La Rochelle (France), 05-08 July 2016.

Opponent for the PhD thesis in Mathematics entitled “A study on solution and stability of functional equations in various spaces through different approaches”. Candidate: Kandhasamy Tamilvanan. Govt. Arts College, Krishnagiri, India (2020).

– 12 April 2019

Invited talk entitled “Fractality of Prime Numbers” at the Institute at Mathematics and Statistics, University of Tartu, Tartu, Estonia.

– 10 April 2019

Invited talk entitled “Fractional Calculus of Zeta Functions” at the Institute at Mathematics and Statistics, University of Tartu, Tartu, Estonia.

– 02 December 2015

Seminar entitled “Fractal antennas: theory and applications” at the Division of Applied Mathematics – UKK, Mälardalen University, Västerås, Sweden.

– 25 November 2015

Seminar entitled “Wavelet representation on fractal sets” at the Division of Applied Mathematics – UKK, Mälardalen University, Västerås, Sweden.

– 02 September 2015: seminar entitled “Special functions in Number Theory: a no-conventional approach” at the Division of Applied Mathematics – UKK, Mälardalen University, Västerås, Sweden.

1. E. Guariglia and S. Silvestrov (2016). Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on D’(C). In: Engineering Mathematics II, S. Silvestrov, M. Rancic (Eds.), Springer, pp. 337-353. doi:10.1007/978-3-319-42105-6_16

2. E. Guariglia (2015). Fractional Derivative of the Riemann Zeta Function. In: Fractional Dynamics, C. Cattani, H.M. Srivastava, X.-J. Yang (Eds.), De Gruyter, pp. 357-368. doi: 10.1515/9783110472097-022

1. E. Guariglia (2018). Harmonic symmetry of the Riemann zeta fractional derivative. AIP Conference Proceedings 2046, 020035. doi:10.1063/1.5081555

2. E. Guariglia. (2017). Spectral Analysis of the Weierstrass-Mandelbrot Function. IEEE Conference Proceedings. In: Proceedings of the 2^ndInternational Multidisciplinary Conference on

Computer and Energy Science, Split, Croatia, 12-14 July 2017. https://ieeexplore.ieee.org/document/8019284

3. E. Guariglia and S. Silvestrov (2017). A functional equation for the Riemann zeta fractional derivative. AIP Conference Proceedings 1798, 020063. doi:10.1063/1.4972738

4. P.G. Metri, E. Guariglia, and S. Silvestrov (2017). Lie group analysis for MHD boundary layer flow and heat transfer over stretching sheet in presence of viscous dissipation and uniform heat source/sink. AIP Conference Proceedings 1798, 020096. doi:10.1063/1.4972688

1. E. Guariglia, R.C. Guido (2022). Chebyshev wavelet analysis, Journal of Function Spaces, 2022(1), 5542054. doi: 10.1155/2022/5542054
2. E. Guariglia (2022). Fractional calculus of the Lerch zeta function, Mediterranean Journal of Mathematics, 19(1), 109. doi:10.1007/s00009-021-01971-7
3. A. Manacero, E. Guariglia, et al. (2022). Parallel fuzzy minimals on GPU, Applied Sciences, 12(1), 2385, doi:10.3390/app12052385
4. R.C. Guido, E. Guariglia et al. (2021). Introducing the Discrete Path Transform (DPT) and its applications in signal analysis, artefact removal, and spoken word recognition, Digital Signal Processing, 117(1), 103158, doi:10.1016/j.dsp.2021.103158
5. E. Guariglia (2021). Fractional calculus, zeta functions and Shannon entropy, Open Mathematics, 19(1), 87-100. doi:10.1515/math-2021-0010
6. E. Guariglia, K. Tamilvanan (2020). On the stability of radical septic functional equations, Mathematics, 8(12), 2229. doi:10.3390/math8122229
7. E. Guariglia (2019). Riemann zeta fractional derivative – functional equation and link with primes, Advances in Diff
   erence Equations, 2019(1), 261. doi:10.1186/s13662-019-2202-5
8. E. Guariglia (2019). Primality, Fractality and Image Analysis, Entropy, 21(3), 304. doi:10.3390/e21030304
9. E. Guariglia (2018). Harmonic Sierpinski Gasket and Applications, Entropy, 20(9), 714. doi: 10.3390/e20090714
10. C. Cattani, E. Guariglia, and S. Wang (2017). On the critical strip of the Riemann zeta Fractional Derivative, Fundamenta Informaticae, 151(1-4), 459-472. doi:10.3233/FI-2017-1504
11. E. Guariglia (2016). Entropy and Fractal Antennas, Entropy, 18(3), 84. doi:10.3390/e18030084
12. C. Cattani and E. Guariglia (2016). Fractional derivative of the Hurwitz -function and chaotic decay to zero, Journal of King Saud University, 28(1), 75-81. doi:10.1016/j.jksus.2015.04.003