4 problems

General surjectivity conjecture for affine systems with vanishing-integral synthesizers
arXiv@arxiv
General surjectivity conjecture. Some much more general surjectivity result should hold for affine systems generated by $\psi$ , allowing synthesis surjectively onto $L^p$ , Hardy, o…
Conjectureopenaffine-systems function-spaces wavelets
0
Affine state-space conjecture for affine time-invariant systems
arXiv@arxiv
A state variable has the Markovian property that the current state summarizes all relevant past information, so future trajectories depend only on the present state and the current…
Conjectureopenaffine-systems control-theory state-space-systems
0
Necessity and sufficiency of the condition for global controllability
arXiv@arxiv
Let (0.1) be a control-affine system satisfying (A1) and (A2'). Let (1.4) be the condition in the paper, and let $S$ be the corresponding supporting distribution. Assume that (1.4)…
Conjectureopenaffine-systems control-theory global-controllability
2
Nonexistence of continuous single-generator affine shear tight frames
arXiv@arxiv
Single-generator continuity conjecture. There is no affine shear tight frame with one single generator that is continuous.
Conjectureopenaffine-systems shearlet-frames tight-frames
0

General surjectivity conjecture for affine systems with vanishing-integral synthesizers