Wiener–Hopf Operators in Higher Dimensions: The Widom Conjecture for Piece-Wise Smooth Domains
نویسندگان
چکیده
منابع مشابه
On the Weinstein Conjecture in Higher Dimensions
The first break-through on this conjecture was obtained by C. Viterbo, [19], showing that compact energy surfaces in R2n of contact-type have periodic orbits. Extending Gromov’s theory of pseudoholomorphic curves, [3], to symplectized contact manifolds, H. Hofer, [4], related the Weinstein conjecture to the existence of certain pseudoholomorphic curves. He showed that in dimension three the Wei...
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i(α ± i +β ± i ) < ∞ and αi , β ± i ≤ const < 1 for all i ≥ 1, is real and lies between 0 and 1. This property of the operator T turns out to be useful in the asymptotic analysis of growing Toeplitz determinants with symbol φ = φ+φ− or, more generally, of the distribution functions of the largest parts of random partitions distributed according to the associated Schur measure. The statement was...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2014
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-014-2185-2