Results 11 to 20 of about 81 (59)
Cyclic Composition operators on Segal-Bargmann space
Concrete Operators, 2022 We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G. +2 more
doaj +1 more source
Approximate solutions for MHD squeezing fluid flow by a novel method
Boundary Value Problems, 2014 In this paper, a steady axisymmetric MHD flow of two-dimensional incompressible fluids has been investigated. The reproducing kernel Hilbert space method (RKHSM) has been implemented to obtain a solution of the reduced fourth-order nonlinear boundary ...
M. Inc., A. Akgül
semanticscholar +1 more source
Jump estimation in inverse regression [PDF]
, 2008 We consider estimation of a step function f from noisy obser- vations of a deconvolution f, whereis some bounded L1-function. We use a penalized least squares estimator to reconstruct the signal f from the observations, with penalty equal to the ...
Leif Boysen, Sophie Bruns, A. Munk
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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
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
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
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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
A realization theorem for generalized Nevanlinna families
, 2011 Boundary relations for a symmetric relation in a Pontryagin space are studied and the corresponding Weyl families are characterized. In particular, it is shown that every generalized Nevanlinna family can be realized as the Weyl family of a boundary ...
J. Behrndt +3 more
semanticscholar +1 more source
KSGNS construction for τ-maps on S-modules and ᵌ0-families
, 2017 We introduce S-modules, which generalizes the notion of Krein C∗-modules and where a fixed unitary replaces the symmetry of Krein C∗-modules. The representation theory on Smodules is explored and for a given ∗ -automorphism α on a C∗ -algebra the KSGNS ...
S. Dey, H. Trivedi
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