Certain function spaces related to the metaplectic representation
نویسندگان
چکیده
منابع مشابه
On the dual of certain locally convex function spaces
In this paper, we first introduce some function spaces, with certain locally convex topologies, closely related to the space of real-valued continuous functions on $X$, where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.
متن کاملMetaplectic Representation on Wiener Amalgam Spaces and Applications to the Schrödinger Equation
We study the action of metaplectic operators on Wiener amalgam spaces, giving upper bounds for their norms. As an application, we obtain new fixed-time estimates in these spaces for Schrödinger equations with general quadratic Hamiltonians and Strichartz estimates for the Schrödinger equation with potentials V (x) = ±|x|.
متن کاملOn Certain Co–h Spaces Related to Moore Spaces
We show that certain co–H spaces, constructed by Anick and Gray, carry a homotopy co–associative and co–commutative co–H structure.
متن کاملRepresentability of Certain Function Spaces
LetCp(X) be the space of all continuous real-valued functions on a space X , with the topology of pointwise convergence. In this paper we show thatCp(X) is not domain representable unless X is discrete for a class of spaces that includes all pseudo-radial spaces and all generalized ordered spaces. This is a first step toward our conjecture that if X is completely regular, then Cp(X) is domain r...
متن کاملOn the Weyl Representation of Metaplectic Operators
Abstract. We study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a formula suggested in earlier work of Mehlig and Wilkinson. We give precise calculations of the associated Maslovtype indices; these indices intervene in a crucial way in Gutzwiller’s formula of semiclassical mechanics, and are simply related to a...
متن کاملذخیره 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: Colloquium Mathematicum
سال: 1998
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-76-1-143-152