Results 41 to 50 of about 2,087 (80)

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

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

Infinite Symmetry in the Quantum Hall Effect

, 1992
Free planar electrons in a uniform magnetic field are shown to possess the symmetry of area-preserving diffeomorphisms ($W$-infinity algebra). Intuitively, this is a consequence of gauge invariance, which forces dynamics to depend only on the flux.
Alvarez-Gaume, Andrea Cappelli, Bakas, Belavin, Cabo, Cappelli, Carlo A. Trugenberger, Cristofano, Cristofano, Cristofano, Dunne, Dunne, Fano, Felder, Felder, Fradkin, Fröhlich, Fröhlich, Fröhlich, Fubini, Fubini, Ghandour, Girvin, Girvin, Girvin, Goldstein, Greiter, Guillermo R. Zemba, Haldane, Haldane, Haldane, Halperin, Iso, Itzykson, Jackiw, Jain, Laughlin, Laughlin, Laughlin, Lopez, Lütken, Moore, Moore, Pope, Pruisken, Stone, Stone, Treiman, Trugman, Wen, Witten, Wu   +51 more
core   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Projective duality and K-energy asymptotics [PDF]

, 2008
Let X be a smooth, linearly normal n dimensional complex projective variety. Assume that the projective dual of X has codimension one with defining polynomial D(X).
Paul, Sean Timothy
core   +1 more source

Realization of compact Lie algebras in K\"ahler manifolds

, 1994
The Berezin quantization on a simply connected homogeneous K\"{a}hler manifold, which is considered as a phase space for a dynamical system, enables a description of the quantal system in a (finite-dimensional) Hilbert space of holomorphic functions ...
Bando M, Bando M, Bar-Moshe D, Berezin F A, Berezin F A, Berezin F A, Bordemann M, Borel A, D Bar-Moshe, Hitchin N J, Hurt N E, Kirillov A A, Kirillov A A, Kirillov A A, Kobayashi S, Kostant B, M S Marinov, Odzijewicz A, Perelomov A M, Schwarz A S, Souriau J-M   +20 more
core   +1 more source

Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani, Rabha W. Ibrahim, Dumitru Baleanu, Serbay Duran   +3 more
wiley   +1 more source

Learning Algebraic Varieties from Samples

, 2018
We seek to determine a real algebraic variety from a fixed finite subset of points. Existing methods are studied and new methods are developed. Our focus lies on aspects of topology and algebraic geometry, such as dimension and defining polynomials.
Breiding, Paul, Sturmfels, Bernd, Verovsek, Sara Kalisnik, Weinstein, Madeleine   +3 more
core   +1 more source

Some Identities of the Probabilistic Changhee Polynomials and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations, fluid dynamics, and quantum mechanics.
Jin-Woo Park, Sang Jo Yun, Sangbeom Park, Jongkyum Kwon, Smritijit Sen   +4 more
wiley   +1 more source

Global integration of the Schr\"odinger equation within the wave operator formalism: The role of the effective Hamiltonian in multidimensional active spaces

, 2016
A global solution of the Schr\"odinger equation, obtained recently within the wave operator formalism for explicitly time-dependent Hamiltonians [J. Phys. A: Math. Theor.
Jolicard, Georges, Killingbeck, John P., Leclerc, Arnaud, Viennot, David   +3 more
core   +2 more sources