3,037 reputation
1247
bio website regularize.wordpress.com
location Braunschweig, Germany
age 36
visits member for 4 years
seen 43 mins ago

Professor at TU Braunschweig.

Area: Inverse problems, regularization theory, applied functional analysis, mathematical image processing.


5h
reviewed Leave Closed Is the ISC kaput
1d
reviewed Close Zero-mean assumptions concerning r.d.'s when reading graduate-level probability texts
1d
comment Are there examples of families of objects which are canonically isomorphic, but where diagrams of canonical isomorphisms don't commute?
In the first paragraph I thought that the unit square would be $[0,1]^2$ but then I realized that you had $[-1,1]^2$ in mind.
2d
reviewed Close Blinding a paper : the acknowledgements section
2d
reviewed Leave Closed How did the summation operation come into use?
2d
reviewed Reopen Obscure Names in Mathematics
2d
comment What should be considered a finite size of an infinite dimensional space?
I second Yemon's comment. You may note that in Yemon's example the natural inverse is not continuous if you equip both spaces with the natural norm of the larger space (i. e. the sup-norm).
2d
comment What should be considered a finite size of an infinite dimensional space?
My naive way of looking at this kind of problems would be to take "natural topologies" on both sets and say one is smaller than the other if one can identify the objects the small space in a natural way with the objects in the larger space and this identification is continuous. So in Yemon's example, $B$ would be indeed smaller than $A$…
Oct
21
comment Integrals involving trigonometric functions and polynomes
Now I notice the question mark behind the formula. Maybe it's just a nitpick, but "Specify all…?" does not sound like a question to me (in contrast to "What are all…?"). Generalization per se may be a motivation but I thought you something more that this, e.g. that some integrals of this type appeared somewhere else.
Oct
21
awarded  Custodian
Oct
21
reviewed Close toledo's lecture on cartwirght-steger surface
Oct
21
comment Integrals involving trigonometric functions and polynomes
I think that this would get a better response if it would come as a question and not a command and also accompanied by some motivation and more background.
Oct
21
comment Quantitative stability: Hausdorff distance between subdifferentials
@RobertIsrael Right, it's indeed simple. Well, this simply reflects that uniform convergence does not imply convergence of the derivative (although, in principle convexity could change things but apparently it doesn't).
Oct
20
comment Quantitative stability: Hausdorff distance between subdifferentials
Don't know of anything, but have you checked Rockafellar and Wets' "Variational Analysis"? By the way, I suspect that the situation could be different for smooth $f$ and $g$…
Oct
20
awarded  Custodian
Oct
20
reviewed Leave Closed A metric on $S^{2}$
Oct
20
reviewed Approve suggested edit on Which univariate function satisfies $e^{g(x)} + e^{-g(x)} = \alpha x$ for $x>0$ and some constant $\alpha>0$?
Oct
20
answered Quantitative stability: Hausdorff distance between subdifferentials
Oct
17
comment A fixed point problem about the iterated mappings
As the question appeared in the review queue, I started editing. Halfway through, I realized that the question does not make sense as stated… For what it's worth: The answers to your questions is: 1. $\lim f^m(x)$ does not exist (hence asking if it is in $\Omega$ or not does not make sense). 2. No. 3. See 1.
Oct
17
reviewed Edit suggested edit on A fixed point problem about the iterated mappings