Vector-ValuedFunctions131向量值函数
First, we prove a theorem constraining the behavior near the cusp of integral, vector-valued modular functions. Second, we explicitly construct non-factorizable, non-holomorphic cuspidal functions satisfying discreteness and integrality, and prove the non-existence of such functions once positivity is ...
. Moreover, no examples of MNBC functions containing component functions provably outside{\mathcal {M}}^{\#}are known. In this paper, we classify all MNBC functions in six variables. Based on the analysis of the obtained equivalence classes, we propose several infinite families of MNBC fun...
TY - JOURAU - Hildebrandt, S.AU - Widman, K.-O.TI - Variational inequalities for vector-valued functions.JO - Journal f眉r die reine und angewandte MathematikPY - 1979VL - 309SP - 191EP - 220LA - engKW - Variational Inequalities; Vector-Valued Functions; Quasilinear Elliptic ...
Then there exists a smooth RN-valued map ξ(t) such that Z(X,tY)=ξ(t)⋅J on [0, 1]. Since g is finite dimensional, it is simple to calculate the differential of the function ξ↦Ψtξ⋅J(x). In the sequel we denote by dxf the differential of a smooth map f at the ...
Vector-valued analytic functions in Cn, which are known to have vector-valued tempered distributional boundary values, are shown to be in the Hardy space Hp,1≤p<2, if the boundary value is in the vector-valued Lp,1≤p<2, functions. The analysis of this
A Gentle Introduction To Vector Valued Functions A Gentle Introduction to Vector Space Models Learning Vector Quantization for Machine Learning Support Vector Machines for Machine Learning Image Vector Representation for Machine Learning… How To Implement Learning Vector Quantization (LVQ)…About...
(characterizingLaplace transforms ofbounded functions). It holds in any Banach space (whereasthe vector-valued version of Widders theorem itself holds if and only if the Banach space has the Radon-Nikod~m property). The Hille-Yosida theorem and other generation theorems are immediate consequences....
A real-valued function w defined on ℜN is said to be convex if for every x and y in ℜN and every λ, 0 ≤ λ ≤ 1, the following inequality holds: ωλx+1−λy≤λωx+1−λωy. It can easily be established that if w is convex then the level set L−(...
Popovici, N.: Explicitly quasiconvex set-valued optimization. J. Glob. Optim. 38, 103–118 (2007). https://doi.org/10.1007/s10898-006-9085-1 Article MathSciNet MATH Google Scholar Tammer, C., Weidner, P.: Scalarization and Separation by Translation Invariant Functions. Springer, Cham (...