We prove that there are no unexpected universal integral linear relations and congruences between Hodge, Betti Chern numbers of compact complex manifolds determine the combinations such which bimeromorphic or topological invariants. This extends results in Kähler case by Kotschick Schreieder. then develop a framework to tackle more general questions taking into account ‘all’ cohomological invar...

We study approximation by arbitrary linear combinations of $n$ translates a single function periodic functions. construct some methods this for univariate functions in the class induced convolution with function, and prove upper bounds $L^p$-approximation convergence rate these methods, when $n \to \infty$, $1 \leq p \infty$. also generalize results to classes multivariate defined tensor produc...