Geometry-Algebra In Applications

Dott.ssa Eulàlia Tramuns Figueras ,
On the axiomatization of origami and other geometric instruments
Tuesday, May 30, 2017, time 14:30 o'clock
aula F. Saleri - 6° piano - edificio 14 - Nave

Dott.ssa M.L. Sonia Spreafico ,
Didattica con l'origami in università
Tuesday, May 30, 2017, time 15:15
aula F. Saleri - 6° piano - edificio 14 - Nave

Paolo Finotelli, Politecnico di Milano
Thursday, April 21, 2016, time 14:30 o'clock
Aula Seminari del terzo piano del Dipartimento di Matematica del Politecnico di Milano (via Bonardi 9, MIlano, Edificio 14 “La Nave”)

Vincenzo Recupero, Politecnico di Torino
Analytic semigroups in the noncommutative framework
Tuesday, January 12, 2016, time 11:00 o'clock
Aula seminari del 6 piano, Dipartimento di Matematica, Via Bonardi 9, Milano

Paula Cerejeiras, Uwe Kaehler, University of Aveiro
Course: Clifford analysis techniques in image processing
Monday, November 23, 2015, time 14:30
Aula seminari del 3 piano

Daniel Alpay, Ben Gurion University, Beer Sheva
Reproducing kernel Hilbert spaces, linear (deterministic and stochastic) systems and inverse scattering
Thursday, September 18, 2014, time 14:30 o'clock
Aula Seminari del 3 piano Dip. Matematica (Ed. 14)
Functions analytic and contractive in the open unit disk play a key role in a host of mathematical domains, for instance operator models, inverse scattering and linear systems. We first discuss the main points in this circle of ideas. The reproducing kernel Hilbert spaces of the kind introduced by de Branges and Rovnyak are an important tool in the arguments. In the second part of the talk we study the stochastic analogs of the situation above. The complex numbers are then replaced by an algebra of stochastic distributions, with a very special structure. it is the dual of a nuclear Fréchet space, and a countable union of increasing Hilbert spaces with decreasing norms, the norms being related by a family of inequalities. Finally we briefly outline the free analog of these spaces of stochastic distributions. References: D. Alpay. The Schur algorithm, reproducing kernel spaces and system theory, volume 5, SMF/AMS Texts and Monographs of the Société mathématique de France (2001). D. Alpay and I. Gohberg. Discrete systems and their characteristic spectral functions. Mediterrean Journal of Mathematics, vol. 4 (2007), pp. 1-32. D. Alpay, P. Jorgensen and D. Levanony. A class of Gaussian processes with fractional spectral measures. Journal of Functional Analysis, Volume 261 (2011), pp. 507-541. D. Alpay and G. Salomon. Non-commutative stochastic distributions and applications to linear systems theory. Stochastic Processes and their Applications, vol. 123 (2013), pp. 2303-2322. D. Alpay, P. Jorgensen and G. Salomon: On free stochastic processes and their derivatives. Stochastic Processes and their Applications, vol. 214 (2014), 3392-3411.


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Dipartimento di Matematica "Francesco Brioschi" - Politecnico di Milano