bio | website | math.ucla.edu/~mlewko |
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location | ||
age | ||
visits | member for | 5 years, 3 months |
seen | 4 hours ago | |
stats | profile views | 3,951 |
Jan 2 |
revised |
Connection between the Fourier transform of f and |f|
edited body |
Jan 2 |
answered | Connection between the Fourier transform of f and |f| |
Nov 26 |
awarded | Enlightened |
Nov 26 |
awarded | Nice Answer |
Nov 26 |
awarded | Enlightened |
Nov 26 |
awarded | Nice Answer |
Nov 17 |
awarded | Good Question |
Nov 13 |
awarded | Good Answer |
Nov 7 |
answered | A.e. pointwise convergence of L2 functions - counterexample for generalization of Carleson's thm |
Oct 18 |
awarded | Yearling |
Oct 13 |
answered | $L^2$ boundedness of the Hilbert transform via Cotlar-Stein Lemma |
Jul 6 |
answered | Proof of the Friedlanderâ€“Iwaniec theorem |
Jul 2 |
awarded | Curious |
May 5 |
comment |
Distribution of $a^2+\alpha b^2$
This isn't an answer, but there is a theorem of Atkin which is in a similar spirit: These exists a sequence of integers such that the n-th term is $n^2 + O(log(n))$ and whose sumset has positive density in the integers. ams.org/mathscinet-getitem?mr=202687 |
Apr 29 |
answered | A question on Cramer's theorem |
Apr 9 |
comment |
Fourier series of functions on compact groups
@Anton, If you interpret the question like that it isn't very interesting. There are certainly $L^2$ functions on the circle without absolutely convergent Fourier series. You could alternately ask for unconditional pointwise convergence (that is a.e. pointwise convergence for every ordering) but this is false for every complete infinite orthonormal system (such as Fourier series on the cirlce, again). |
Apr 9 |
comment |
Fourier series of functions on compact groups
How are you ordering the summation? Note that one must specify an ordering before it makes sense to talk about pointwise convergence. |
Apr 3 |
awarded | Nice Answer |
Feb 20 |
comment |
Objections to and arguments for the simplicity of all Riemann zeros
Micah, can you give a reference for this? Is the same known for $\psi$? |
Feb 20 |
awarded | Nice Answer |