bio | website | |
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location | University of Maryland | |
age | ||
visits | member for | 2 years |
seen | Mar 7 at 19:32 | |
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I am a PhD student at the University of Maryland working on tilings and their relationship to harmonic analysis.
Jan 14 |
revised |
Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space?
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Jan 14 |
asked | Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space? |
Dec 20 |
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When is a collection of exponentials dense in $L^2(K), |K|<\infty$
This book seems concentrated on the $d=1$ case. Has a similar analysis been done in higher dimensions? |
Dec 20 |
awarded | Critic |
Dec 20 |
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When is a collection of exponentials dense in $L^2(K), |K|<\infty$
Ah thanks. Are there particular techniques for proving that a set is a set of uniqueness? |
Dec 20 |
revised |
When is a collection of exponentials dense in $L^2(K), |K|<\infty$
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Dec 20 |
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When is a collection of exponentials dense in $L^2(K), |K|<\infty$
Yes, I meant to ask when the linear span of the set $\{e^{2 \pi i \lambda}\}$ would be dense. Certainly the Paley-Wiener theorem relates $L^2(K)$ to holomorphic functions with certain growth conditions. What do you mean by a "set of uniqueness?" |
Dec 20 |
revised |
When is a collection of exponentials dense in $L^2(K), |K|<\infty$
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Dec 20 |
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When is a collection of exponentials dense in $L^2(K), |K|<\infty$
I'll amend the question to specify that $K$ should be compact. |
Dec 20 |
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When is a collection of exponentials dense in $L^2(K), |K|<\infty$
Thanks! I am especially interested in the question for $K \subset \mathbb{R}^d, d>1.$ |
Dec 20 |
asked | When is a collection of exponentials dense in $L^2(K), |K|<\infty$ |
Dec 17 |
answered | Finding the commutant of a von Neumann algebra |
Nov 26 |
comment |
Finding the commutant of a von Neumann algebra
Thank you for your answer! Indeed, the algebras I am dealing with are Type II factors acting on B(L^2(X)) where X is a topological space. Is there some classification of the operators on B(L^2(X)) that would allow me to systematically check that the operators in B are the only ones commuting withoperators in A (or vice versa)? |
Nov 25 |
asked | Finding the commutant of a von Neumann algebra |
Oct 28 |
revised |
The groupoid VN algebra of the transversal to a uniquely ergodic action
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Oct 15 |
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The groupoid VN algebra of the transversal to a uniquely ergodic action
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Oct 10 |
revised |
The groupoid VN algebra of the transversal to a uniquely ergodic action
added 186 characters in body |
Oct 10 |
asked | The groupoid VN algebra of the transversal to a uniquely ergodic action |
Oct 2 |
comment |
Poisson Summation Formulas for Cut and Project Quasicrystals
I imagine a similar argument can be used to show that patches in the tiling space occur with uniform frequencies (and to compute those frequencies). Would you happen to know of a reference with those sorts of computations? I've seen things like this in a paper of Solomyak, but it was for self-affine tilings rather than cut and projects. |
Oct 2 |
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Poisson Summation Formulas for Cut and Project Quasicrystals
What are the $A_n$ in the limit? |