Results 71 to 80 of about 560 (182)

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

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

The nonlocal problem for the $2n$ differential equations with unbounded operator coefficients and the involution

Karpatsʹkì Matematičnì Publìkacìï, 2018
We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij, I.I. Demkiv, I.Ya. Ivasiuk, M.I. Kopach   +3 more
doaj   +1 more source

A nonlocal problem for mixed type equation with singular coefficient in domain with half-strip as hyperbolic part

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
A nonlocal problem for mixed type equation with a singular coefficient and the spectral parameter is formulated in the field, which hyperbolic part is vertical half-strip and elliptic part is rectangle.
Anton A Abashkin
doaj   +1 more source

On a necessary aspect for the Riesz basis property for indefinite Sturm‐Liouville problems [PDF]

Mathematische Nachrichten, 2014
In 1996, H. Volkmer observed that the inequality urn:x-wiley:dummy:mana201300104:equation:mana201300104-math-0001is satisfied with some positive constant for a certain class of functions f on [ − 1, 1] if the eigenfunctions of the problem urn:x-wiley:dummy:mana201300104:equation:mana201300104-math-0003form a Riesz basis of the Hilbert space .
openaire   +4 more sources

Riesz basis and exponential stability for Euler-bernoulli beams with variable coefficients and indefinite damping under a force control in position and velocity

Electronic Journal of Differential Equations, 2015
This article concerns the Riesz basis property and the stability of a damped Euler-Bernoulli beam with nonuniform thickness or density, that is clamped at one end and is free at the other.
K. Augustin Toure, Adama Coulibaly, Ayo A. Hermith Kouassi   +2 more
doaj  

On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

Abstract and Applied Analysis, 2015
We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1]
Alp Arslan Kıraç
doaj   +1 more source

An Explicit Structure for Duals of Frames in Krein Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this study, motivating the explanation of Esmeral, Ferrer, and Wagner, similar findings regarding frames in Hilbert spaces were attempted to be extended to Krein spaces.
Elnaz Osgooei, Asghar Rahimi
doaj   +1 more source

A Riesz basis for Bargmann-Fock space related to sampling and interpolation

Arkiv för Matematik, 1992
Let \(A^ p(C)\), \(1\leq ...
Gröchenig, K., Walnut, D.
openaire   +3 more sources

Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems

Electronic Journal of Differential Equations, 2000
We consider three nonlinear eigenvalue problems that consist of $$-y''+f(y^2)y=lambda y$$ with one of the following boundary conditions: $$displaylines{ y(0)=y(1)=0 quad y'(0)=p ,,cr y'(0)=y(1)=0 quad y(0)=p,, cr y'(0)=y'(1)=0 quad y(0)=p,, }$$ where $p$
Peter E. Zhidkov
doaj