Extended Heinz and Jensen type inequalities and rearrangements.- On some applications of representable functionals of a Banach quasi *-algebra.- Minimality properties of Sturm-Liouville problems with increasing affine boundary conditions.- Scattering, spectrum and resonance states completeness for quantum graph with Rashba Hamiltonian.- Tau functions associated with linear systems.- Groups of orthogonal matrices all orbits of which generate lattices.- Invertibility issues for Toeplitz plus Hankel operators and their close relatives.- K-inner functions and K-contractions.- Tight and cover-to-join representations of semilattices and inverse semigroups.- Calkin images of Fourier convolution operators with slowly oscillating symbols.- Inner outer factorization of wide rational matrix valued functions on the half plane.- Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data.- A closer look at Bishop operators.- Products of unbounded Bloch functions.- Birkhoff-James orthogonality and applications: a survey.- The generalized d-complex on the Segal Bargmann space.- The inverse characteristic polynomial problem for trees.- A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels, II.- A note on group representations, determinantal hypersurfaces and their quantizations.- Algebras generated by Toeplitz Operators on the unit sphere II: Non commutative case.- d-modified Riesz potentials on central Campanato spaces.- On some consequences of the solvability of the Caffarelli-Silvestre extension problem.- Time-dependent approach to the uniqueness of the Sommerfeld solution of the diffraction problem by a half-plane.- On the operator Jensen-Mercer inequality.- A numerical approach for approximating variable-order fractional integral operator.- Langlands reciprocity for C*-algebras.- Compact sequences in quasifractal algebras.- Dilation theory: a guided tour.- Riesz-Fischer maps, Semi-frames and Frames in rigged Hilbert spaces.- Periodic coherent states decomposition and quantum dynamics on the flat torus.