WebNov 1, 1984 · INTRODUCTION Let H {q) = c^ldx1 + q (x) be the Hill's operator with a periodic potential q of period one. Consider the following inverse problem. Find all potentials q {x) …
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WebLet L be the Hill operator or the one-dimensional Dirac operator with π-periodic potential considered on the real line R. The spectrum of L has a band-gap structure, that is, the … Web1 or the spectral gap can be characterized as gap(L)=inf ˇ harf;rfi:f2D;ˇ(f)=0;ˇ(f2)=1 (1.1); where ˇ(f)= R fdˇand D= ff+ c: f 2C1 0 (R d);c2Rg. The variational formula (1.1) is particularly useful for a upper bound of gap(L). But it is much more di cult to handle the lower bound for which many di erent approaches have been introduced. imdb fantastic beasts and where to find them
Sci-Hub Hill’s operator with finitely many gaps. Functional …
WebFeb 25, 2024 · In a strip, we consider an equation with the Euler–Poisson–Darboux operator containing a real positive parameter. We prove an energy inequality and the uniqueness of the classical solution of the Cauchy problem for the homogeneous equation, derive a formula for the solution, and establish its continuous dependence on the parameter. WebSep 2, 2024 · Abstract. We study infinite multiplicative Toeplitz matrices and Toeplitz operators on the Hardy space H^2 (\mathbb {T}^ {\infty}) over the infinite-dimensional polydisc. This pair is a companion to the pair of Toeplitz matrices and Toeplitz operators on the Hardy space over the unit disc. We obtain a Brown- Halmos type theorem and the … WebMar 30, 2024 · Meantime, a characterization of the Heisenberg uniqueness pairs corresponding to finitely parallel lines with a regular gap is considered in . In Sect. 2, we characterize the Heisenberg uniqueness pairs for a certain system of finitely many parallel lines with an irregular gap. However, an exact analogue of three lines result for a larger ... list of maine zip codes