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The Unified Transform, Medical Imaging, Asymptotics of the Riemann Zeta Function: Part II

Presented by: 
Thanasis Fokas
Friday 15th November 2019 - 14:00 to 15:00
INI Seminar Room 2
Employing techniques of complex analysis, three different problems will be discussed: (i) Initial-boundary value problems via the unified
transform (also known as the Fokas method,[1]. (ii) The evaluation of the large t-asymptotics to all orders of the Riemann zeta function[2], and the introduction of a new approach to the Lindelöf Hypothesis[3]. (iii) A novel analytical algorithm for the medical technique of SPECT and its numerical implementation [4].

[1] J. Lenells and A. S. Fokas. The Nonlinear Schrödinger Equation
with t-Periodic Data: I. Exact Results, Proc. R. Soc. A 471, 20140925
J. Lenells and A. S. Fokas, The Nonlinear Schrödinger Equation with
t-Periodic Data: II. Perturbative Results, Proc. R. Soc. A 471,
20140926 (2015).
[2] A.S. Fokas and J. Lenells, On the Asymptotics to All Orders of the
Riemann Zeta Function and of a Two-Parameter Generalization of the
Riemann Zeta Function, Mem. Amer. Math. Soc. (to appear).
[3] A.S. Fokas, A Novel Approach to the Lindelof Hypothesis,
Transactions of Mathematics and its Applications, 3(1), tnz006 (2019).
[4]N.E. Protonotarios, A.S. Fokas, K. Kostarelos and G.A. Kastis, The Attenuated Spline
Reconstruction Technique for Single Photon Emission Computed Tomography, J. R. Soc.
Interface 15, 20180509 (2018).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons