Results 11 to 20 of about 552 (33)
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions [PDF]
, 2014 In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical selfadjoint extensions of the multiplication operator as a family of rank-one perturbations ...
Silva, Luis O., Toloza, Julio H.
core +2 more sources
Bloch‐type space of temperature functions on a finite cylinder
Journal of Function Spaces, Volume 5, Issue 3, Page 287-297, 2007., 2007 We define the Bloch‐type space BT as the linear space of temperature functions on the cylinder ST=S1×(0,T) such that sup(x,t)∈Tt| ∂u∂t(x,t) |<∞, ΩT = [0,2] × (0, T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT, dxdt).
Marcos López-García, Hans Triebel
wiley +1 more source
Bergman spaces of temperature functions on a cylinder
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 19, Page 1193-1213, 2003., 2003 We define the weighted Bergman space bβp(ST) consisting of temperature functions on the cylinder ST = S1 × (0, T) and belonging to Lp(ΩT, tβdxdt), where ΩT = (0, 2) × (0, T). For β > −1 we construct a family of bounded projections of Lp(ΩT, tβdxdt) onto bβp(ST).
Marcos López-García
wiley +1 more source
Generalized Fock spaces and the Stirling numbers [PDF]
, 2018 The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D. +14 more
core +3 more sources
Duality by reproducing kernels
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 6, Page 327-395, 2003., 2003 Let A be a determined or overdetermined elliptic differential operator on a smooth compact manifold X. Write 𝒮A(𝒟) for the space of solutions of the system Au = 0 in a domain 𝒟⋐X. Using reproducing kernels related to various Hilbert structures on subspaces of 𝒮A(𝒟), we show explicit identifications of the dual spaces.
A. Shlapunov, N. Tarkhanov
wiley +1 more source
Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]
, 2015 We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O. +2 more
core +2 more sources
Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
doaj +1 more source
Geometric properties of composition operators belonging to Schatten classes
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 4, Page 239-248, 2001., 2001 We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
wiley +1 more source
Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
doaj +1 more source
On a class of shift-invariant subspaces of the Drury-Arveson space
Concrete Operators, 2018 In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d.
Arcozzi Nicola, Levi Matteo
doaj +1 more source