Fredagen den 8 december kl. 13.15--14.15 talar prof. Mogens Flensted-Jensen, Köpenhamn och Institut Mittag-Leffler: Harmonic Analysis on Symmetric Spaces - an Introduction. Fredagen den 15 december kl. 13.15--14.15 talar prof. P. O. Lindberg: On functional dependence.
Abstract:
In most classical analysis books there are results on functional
dependence. Two functions f and g are functionally dependent if there
is a nontrivial function F such that 
is identically 0.
In a couple of practical applications, we have come across situations
where we would like to conclude that two functions are functionally
dependent globally in the more narrow sense, that 
for some
function h. Then the classical results are not so useful, because they
are local. Moreover they are usually stated in terms of functional
determinants rather than in terms of notions with more geometric
content.
Our simple functional dependence result reads (essentially), that if
there is a function 
such that
and g has connected level surfaces and 
has full rank, then
for some h.
We will sketch the proof of this result and indicate how it was used
in one or two cases:
homothetic functions and invariance of achieved utility in additive
random utility models.
Lokal: MAI:s seminarierum
Fredagen den 12 januari kl. 13.15--14.15 talar doc. Hans Riesel, KTH: Vad nytt på primtalsfronten?.
Lokal meddelas senare
Lars Inge Hedberg