$L^2$--eta--invariants and their approximation by unitary eta--invariants

$L^2$-Betti numbers and non-unitarizable groups without free subgroups

$L^2$-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds

$L^2$-estimates for the $d$-operator acting on super forms

$L^2$-extension of $\dbar$-closed forms

$L^2$-index formula for proper cocompact group actions

$L^2$-norm and estimates from below for Riesz transforms on Cantor sets

$L^2$-signatures, homology localization, and amenable groups

$L^2$-spectral invariants and quasi-crystal graphs

$L^2$-stability of explicit schemes for incompressible Euler equations

$L^2$-topology and Lagrangians in the space of connections over a Riemann surface

$L^2$-torsion invariants and the Magnus representation of the mapping class group

$L^2-$interpolation with error and size of spectra

$L^p - L^{p'}$ estimates for overdetermined Radon transforms

$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach

$L^p$ asymptotic behavior of perturbed viscous shock profiles

$L^p$ Bernstein Inequalities and Inverse Theorems for RBF Approximation on $\mathbb{R}^d$

$L^p$ Boundedness of Commutators of Riesz Transforms associated to Schrödinger Operator

$L^p$ bounds for a central limit theorem with involutions

$L^p$ bounds for singular integrals and maximal singular integrals with rough kernels