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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The Unified Transform\, Medical Imaging\, Asymptot
ics of the Riemann Zeta Function: Part II - Thanas
is Fokas (University of Cambridge)
DTSTART;TZID=Europe/London:20191115T140000
DTEND;TZID=Europe/London:20191115T150000
UID:TALK134779AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/134779
DESCRIPTION:Employing techniques of complex analysis\, three d
ifferent problems will be discussed: (i) Initial-
boundary value problems via the unified
transf
orm (also known as the Fokas method\,www.wikipedia
.org/wiki/Fokas_method)[1]. (ii) The evaluation of
the large t-asymptotics to all orders of the Riem
ann zeta function[2]\, and the introduction of a n
ew approach to the Lindelö\;f Hypothesis[3]. (
iii) A novel analytical algorithm for the medical
technique of SPECT and its numerical implementatio
n [4].
[1] J. Lenells and A. S. Fokas. Th
e Nonlinear Schrö\;dinger Equation
with t-
Periodic Data: I. Exact Results\, Proc. R. Soc. A
471\, 20140925
(2015).
J. Lenells and A. S
. Fokas\, The Nonlinear Schrö\;dinger Equation
with
t-Periodic Data: II. Perturbative Result
s\, Proc. R. Soc. A 471\,
20140926 (2015).
[2] A.S. Fokas and J. Lenells\, On the Asymptotic
s to All Orders of the
Riemann Zeta Function a
nd of a Two-Parameter Generalization of the
Ri
emann Zeta Function\, Mem. Amer. Math. Soc. (to ap
pear).
[3] A.S. Fokas\, A Novel Approach to th
e Lindelof Hypothesis\,
Transactions of Mathem
atics and its Applications\, 3(1)\, tnz006 (2019).
[4]N.E. Protonotarios\, A.S. Fokas\, K. Kosta
relos and G.A. Kastis\, The Attenuated Spline
Reconstruction Technique for Single Photon Emissio
n Computed Tomography\, J. R. Soc.
Interface 1
5\, 20180509 (2018).
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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