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SUMMARY:The Unified Transform\, Medical Imaging\, Asymptotics of the Riema
 nn Zeta Function: Part I - Thanasis Fokas (University of Cambridge)
DTSTART:20191115T110000Z
DTEND:20191115T120000Z
UID:TALK134785@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Employing techniques of complex analysis\, three different pro
 blems will be discussed: (i)  Initial-boundary value problems via the unif
 ied<br> transform (also known as the Fokas method\,www.wikipedia.org/wiki/
 Fokas_method)[1]. (ii) The evaluation of the large t-asymptotics to all or
 ders of the Riemann zeta function[2]\, and the introduction of a new appro
 ach to the Lindel&ouml\;f Hypothesis[3]. (iii) A novel analytical algorith
 m for the medical technique of SPECT and its numerical implementation [4].
 <br> <br> [1] J. Lenells and A. S. Fokas. The Nonlinear Schr&ouml\;dinger 
 Equation<br> with t-Periodic Data: I. Exact Results\, Proc. R. Soc. A 471\
 , 20140925<br> (2015).<br> J. Lenells and A. S. Fokas\, The Nonlinear Schr
 &ouml\;dinger Equation with<br> t-Periodic Data: II. Perturbative Results\
 , Proc. R. Soc. A 471\,<br> 20140926 (2015).<br> [2] A.S. Fokas and J. Len
 ells\, On the Asymptotics to All Orders of the<br> Riemann Zeta Function a
 nd of a Two-Parameter Generalization of the<br> Riemann Zeta Function\, Me
 m. Amer. Math. Soc. (to appear).<br> [3] A.S. Fokas\, A Novel Approach to 
 the Lindelof Hypothesis\,<br> Transactions of Mathematics and its Applicat
 ions\, 3(1)\, tnz006 (2019).<br> [4]N.E. Protonotarios\, A.S. Fokas\, K. K
 ostarelos and G.A. Kastis\, The Attenuated Spline<br> Reconstruction Techn
 ique for Single Photon Emission Computed Tomography\, J. R. Soc.<br> Inter
 face 15\, 20180509 (2018).
LOCATION:Seminar Room 2\, Newton Institute
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