Holon Institute of Technology
Dear Colleagues,
Our next Colloquium in Mathematics and Computer Science will take
place on Tuesday, February 26, at 12:00.
Speaker: Prof. Mark Agranovsky
Affiliation: Bar-Ilan University, Ramat Gan, Israel
Title: Spherical Waves, Nodal Sets and Thermoacoustic Tomography
Date: Tuesday, February 26, 2013
Time: 12:00
Venue: Room 424/8, Science Building
Can one reconstruct a function from knowing the integrals over all
spheres with centers on a given surface? That integral-geometric problem is
closely related to the following interrelated questions: 1) what are
complete systems of shifted radial functions (spherical waves)? 2)
what are joint zero (nodal) sets of large families of eigenfunctions
of the Laplace operator? 3) how to reconstruct the initial value
(and hence the solution) of the wave equation in the whole space from
observing, for all values of time, the restriction of the solution on
a hypersurface? The latter question is a mathematical formulation of
the reconstruction problem in the photo- and thermoacoustic
tomography, which is a type of hybrid tomography - a new trend
in medical imaging. In my talk, I will give a survey of what we know
by today and what we do not know on the above questions.
Light refreshments will be served at 11:45 am. Everybody is welcome.
Looking forward to seeing you all,
                 Anatoly Golberg, Dmitry Goldstein, Eugen Mandrescu
Holon Institute of Technology, 52 Golomb St, Holon, 03-5026560,


Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Anatoly Golberg   <golberga@hit.ac.il>