Spectral and scattering theory for symbolic potentials of order zero
نویسندگان
چکیده
منابع مشابه
Spectral and Scattering Theory for Symbolic Potentials of Order Zero
The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on R which are homogeneous of degree zero near infinity. The most complete results require the additional assumption that the restriction of the potential to the circle(s) at infinity be Morse. Generalized eigenfunct...
متن کاملSpectral and Scattering Theory for Symbolic Potentials of Order Zero, I
The spectral and scattering theory for a generalization of the class of smooth potentials on R2 which are homogeneous of degree zero near infinity is investigated under the assumption that the restriction to the sphere at infinity is Morse. Generalized eigenfunctions associated to the essential spectrum at non-critical energies are shown to originate both at minima and maxima, altough the latte...
متن کاملScattering for Symbolic Potentials of Order Zero and Microlocal Propagation near Radial Points
In this paper, the scattering and spectral theory of H = ∆g + V is developed, where ∆g is the Laplacian with respect to a scattering metric g on a compact manifold X with boundary and V ∈ C(X) is real; this extends our earlier results in the two-dimensional case. Included in this class of operators are perturbations of the Laplacian on Euclidean space by potentials homogeneous of degree zero ne...
متن کاملMicrolocal Propagation near Radial Points and Scattering for Symbolic Potentials of Order Zero
In this paper, the scattering and spectral theory of H = ∆g + V is developed, where ∆g is the Laplacian with respect to a scattering metric g on a compact manifold X with boundary and V ∈ C(X) is real; this extends our earlier results in the two-dimensional case. Included in this class of operators are perturbations of the Laplacian on Euclidean space by potentials homogeneous of degree zero ne...
متن کاملdiagnostic and developmental potentials of dynamic assessment for writing skill
این پایان نامه بدنبال بررسی کاربرد ارزیابی مستمر در یک محیط یادگیری زبان دوم از طریق طرح چهار سوال تحقیق زیر بود: (1) درک توانایی های فراگیران زمانیکه که از طریق برآورد عملکرد مستقل آنها امکان پذیر نباشد اما در طول جلسات ارزیابی مستمر مشخص شوند; (2) امکان تقویت توانایی های فراگیران از طریق ارزیابی مستمر; (3) سودمندی ارزیابی مستمر در هدایت آموزش فردی به سمتی که به منطقه ی تقریبی رشد افراد حساس ا...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2004
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(03)00020-3