Results 111 to 120 of about 2,532 (218)

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Discrete analogues of second‐order Riesz transforms

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley   +1 more source

Potential trace inequalities via a Calderón‐type theorem

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula, Luboš Pick, Daniel Spector   +2 more
wiley   +1 more source

Set functions associated with Lebesgue area [PDF]

Pacific Journal of Mathematics, 1952
openaire   +3 more sources

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

Lebesgue spaces of summable functions [PDF]

Proceedings of the American Mathematical Society, 1961
openaire   +2 more sources

Coloring and density theorems for configurations of a given volume

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract This is a treatise on finite point configurations spanning a fixed volume to be found in a single color‐class of an arbitrary finite (measurable) coloring of the Euclidean space Rn$\mathbb {R}^n$, or in a single large measurable subset A⊆Rn$A\subseteq \mathbb {R}^n$.
Vjekoslav Kovač
wiley   +1 more source

Lebesgue density as a set function [PDF]

Pacific Journal of Mathematics, 1961
openaire   +3 more sources

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]

Manuscr Math
Chatzakou M, Ruzhansky M, Shriwastawa A.
europepmc   +1 more source