We study two inverse problems on a globally hyperbolic Lorentzian manifold (M, g). The
problems are: 1. Passive observations in spacetime: consider observations in an open set V …

We prove that the non-Kähler locus of a nef and big class on a compact complex manifold
bimeromorphic to a Kähler manifold equals its null locus. In particular this gives an analytic …

This article discusses some of Elias M. Stein's seminal contributions to analysis. References
JM Aldaz, The weak type $(1, 1) $ bounds for the maximal function associated to cubes grow …

We study algebras of singular integral operators on $\mathbb {R}^{n} $ and nilpotent Lie
groups that arise when considering the composition of Calderón-Zygmund operators with …

We study the boundary behavior of rational inner functions (RIFs) in dimensions three and
higher from both analytic and geometric viewpoints. On the analytic side, we use the critical …

The Łojasiewicz inequalities for real analytic functions on Euclidean space were first proved
by Stanisław Łojasiewicz (1959, 1965) using methods of semianalytic and subanalytic sets …

In a seminal work of AN Varchenko, the behavior at infinity of oscillatory integrals with real
analytic phase is precisely investigated by using the theory of toric varieties based on the …

On the Boundedness Problem of Maximal Operators | Russian Mathematics Skip to main
content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home 2.Russian …

Collins, Tristan C.; Tosatti, Valentino. An extension theorem for Kähler currents with analytic
singularities. Annales de la Faculté des sciences de Toulouse: Mathématiques, Série 6 …

The one-dimensional oscillatory integral operator associated to a real analytic phase S is
given by T λ f (x)=∫−∞∞ ei λ S (x, y) χ (x, y) f (y) d y. In their fundamental work, Phong and …