An extension to a theorem of Jörgens, Calabi, and Pogorelov
✍ Scribed by L. Caffarelli; YanYan Li
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 293 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-3640
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📜 SIMILAR VOLUMES
This paper examines non-uniformly sampled functions on a finite interval. The aim is to investigate what conditions must be satisfied in order to recover the baseband spectrum from such data. It is shown that the concept of band limitation inherent in Nyquist's theorem must be generalized into a qua
Consider a triangular array \(X_{1}^{n}, \ldots, X_{n}^{n}, n \in \mathbb{N}\), of rowwise independent random clements with values in a measurable space. Suppose there exists \(\theta \in[0,1)\) such that \(X_{1}^{n}, \ldots, X_{\left.\left[n^{n}\right\}\right]}^{n}\) have distribution \(v_{1}\) and
Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a distributive lattice and that, for every interval of rank at least 4, the interval minus its endpoints is connected. It is shown that P is a distributive lattice, thus resolving an issue raised by Stanle
Strong maximum and anti-maximum principles are extended to weak L 2 (R 2 )solutions u of the Schro dinger equation &2u+q(x) u&\*u= f (x) in L 2 (R 2 ) in the following form: Let . 1 denote the positive eigenfunction associated with the principal eigenvalue \* 1 of the Schro dinger operator A=&2+q(x)