111 citations
- Atilim UniversityTR4 papers
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- Vologda State UniversityRU3 papers
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- Middle East Technical UniversityTR2 papers
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4 papers · 1 filter
Sklyanin algebras revisited
Igor Nikolaev
We construct a functor from the category of elliptic curves to a category of noncommutative tori. Our proof is based on an isomorphism between the Sklyanin algebras and dense sub-a…
Mid-infrared upconversion spectroscopy based on a Yb:fiber femtosecond laser
Todd A. Johnson, Scott A. Diddams
We present a system for molecular spectroscopy using a broadband mid-infrared laser with near infrared detection. Difference frequency generation of a Yb:fiber femtosecond laser pr…
On a Poisson summation formula for noncommutative tori
Igor Nikolaev
It is proved that a maximal abelian subalgebra of the noncommutative torus commutes with the Laplace operator on a complex torus. As a corollary, one gets an analog of the Poisson…
Embeddability of locally finite metric spaces into Banach spaces is finitely determined
Mikhail I. Ostrovskii
The main purpose of the paper is to prove the following results: Let be a locally finite metric space whose finite subsets admit uniformly bilipschitz embeddings into a Banach…