bio | website | regularize.wordpress.com |
---|---|---|
location | Braunschweig, Germany | |
age | 36 | |
visits | member for | 4 years, 6 months |
seen | 13 hours ago | |
stats | profile views | 1,886 |
Professor at TU Braunschweig.
Area: Inverse problems, regularization theory, applied functional analysis, mathematical image processing.
Dec 7 |
comment |
Banach space of discontinuous functions(Killing continuous functions)
"Appropriate quotient space" Do you have an idea how this space looks like (or how the space which you divide by)? I guess the quotient contains all characteristic functions of all points and then it wouldn't be separable in the first norm. The second norm looks pretty weired to me… |
Dec 4 |
comment |
$Ax=b$ in a function space
I am not sure what you are after. Do you want to show that the solution depends continuously on the matrix? Are you especially interested in the case where $A$ gets singular? |
Nov 27 |
awarded | Notable Question |
Nov 25 |
accepted | Geometric measures different from Hausdorff |
Nov 25 |
comment |
Reference for a strong intermediate value theorem for measures
Actually, your statement is not strictly stronger than the result the OP is asking for since he wants the sets $S_t$ to be nested. |
Nov 20 |
reviewed | Leave Open “Almost” zeta function |
Nov 19 |
comment |
Removing constraints in convex optimization
Well, ehm, actually I don't see it either… Adapted my answer which is only a "partial answer" now… |
Nov 19 |
revised |
Removing constraints in convex optimization
Extended and corrected |
Nov 19 |
comment |
What's the idea behind various equivalent norms on Besov spaces $B^{s}_{p,q}$?
Another book that is quite detailed is Runst and Sickel's Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations. However, I guess for the equivalence of the norms they refer to Triebel… |
Nov 19 |
comment |
Geometric measures different from Hausdorff
Thanks a lot for the answer, especially for pointin to Frostman's lemma, densities and the example where $H^m(A)>0$ and $G_m(A) = 0$. This is exactly in the direction I was hoping. If you had additonally some concrete examples where Hausdorff, Dyadic and Spherical Measure differ I would accept and cash the bounty right away! |
Nov 18 |
reviewed | Leave Open How to prove that a kernel is positive definite? |
Nov 17 |
answered | Removing constraints in convex optimization |
Nov 14 |
reviewed | Approve Graph automorphism that swaps two pairs of nodes |
Nov 14 |
answered | Standard names and methods for this type of fitting minimization |
Nov 14 |
comment |
Noncommutative version of Littlewood's First Principle
While the title sounds interesting to me, I have to admit that I don't have any idea what this "noncommutative setting" you are talking about may be, let alone what an analog of Littlewood's principle may be. |
Nov 13 |
comment |
Does the boundary of a convex body contain a regular planar pentagon?
Does a convex body need to have nonempty other interior? Otherwise the answer is no. |
Nov 12 |
revised |
Is the boundary $\partial S$ analogous to a derivative?
Corrected typos. Extended answer a bit. |
Nov 9 |
comment |
Area of the minimal surface of a non-planar quadrilateral in 3d
Regarding your other comment: I thought 'minimal surface' would mean 'surface of minimal area' but probably there are some local minima (whatever this means in this context)? |
Nov 9 |
comment |
Area of the minimal surface of a non-planar quadrilateral in 3d
A formula in elliptic functions or another non-elementary integral would be OK. In the end I would be happy with a simple numerical method to calculate the value. |
Nov 7 |
asked | Area of the minimal surface of a non-planar quadrilateral in 3d |