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Displaying 321 – 340 of 654

The Quantum Birkhoff Normal Form and Spectral Asymptotics

San Vũ Ngọc (2006)

Journées Équations aux dérivées partielles

In this talk we explain a simple treatment of the quantum Birkhoff normal form for semiclassical pseudo-differential operators with smooth coefficients. The normal form is applied to describe the discrete spectrum in a generalised non-degenerate potential well, yielding uniform estimates in the energy $E$ . This permits a detailed study of the spectrum in various asymptotic regions of the parameters $(E, ℏ)$ , and gives improvements and new proofs for many of the results in the field. In the completely resonant...

The quasi-canonical solution operator to $\bar{\partial}$ restricted to the Fock-space

Georg Schneider (2005)

Czechoslovak Mathematical Journal

We consider the solution operator $S ℱ_{μ, (p, q)} \to L^{2} {(μ)}_{(p, q)}$ to the $\bar{\partial}$ -operator restricted to forms with coefficients in $ℱ_{μ} = \{f f is entire and \int_{ℂ^{n}} {| f (z) |}^{2} d μ (z) < \infty\}$ . Here $ℱ_{μ, (p, q)}$ denotes $(p, q)$ -forms with coefficients in $ℱ_{μ}$ , $L^{2} (μ)$ is the corresponding $L^{2}$ -space and $μ$ is a suitable rotation-invariant absolutely continuous finite measure. We will develop a general solution formula $S$ to $\bar{\partial}$ . This solution operator will have the property $S v ⊥ ℱ_{(p, q)} \forall v \in ℱ_{(p, q + 1)}$ . As an application of the solution formula we will be able to characterize compactness of the solution operator in terms of compactness of commutators...

The Radon--Nikodym theorem for reflexive Banach spaces.

Bárcenas, Diómedes (2003)

Divulgaciones Matemáticas

The RAGE theorem in Banach spaces.

J. Kreulich (1994)

Semigroup forum

The range of a derivation on a Jordan-Banach algebra

M. Brešar, A. R. Villena (2001)

Studia Mathematica

The questions when a derivation on a Jordan-Banach algebra has quasi-nilpotent values, and when it has the range in the radical, are discussed.

The range of Toeplitz operators on the ball.

Boris Korenblum, John E. McCarthy (1996)

Revista Matemática Iberoamericana

The ranges of nonlinear operators of the polynomial type

Josef Voldřich (1982)

Commentationes Mathematicae Universitatis Carolinae

The rate of convergence of a modified Newton's process

Florian-Alexandru Potra (1981)

Aplikace matematiky

The rate of convergence of iterates of the Frobenius-Perron operator for piecewise monotonic transformations

M. Jabłoński, J. Malczak (1984)

Colloquium Mathematicae

The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional $p$ -Laplacian.

Bognár, Gabriella, Došlý, Ondřej (2010)

Abstract and Applied Analysis

The Regularized Trace for Nuclear Perturbations of Discrete Operators

Milutin Dostanić (1991)

Publications de l'Institut Mathématique

The relationship between $K_{u}^{2} \cap v H^{2}$ and inner functions

Xiaoyuan Yang (2024)

Czechoslovak Mathematical Journal

Let $u$ be an inner function and $K_{u}^{2}$ be the corresponding model space. For an inner function $v$ , the subspace $v H^{2}$ is an invariant subspace of the unilateral shift operator on $H^{2}$ . In this article, using the structure of a Toeplitz kernel $\ker T_{\bar{u} v}$ , we study the intersection $K_{u}^{2} \cap v H^{2}$ by properties of inner functions $u$ and $v$ $(v ...$

The Relative Spectrum of Elements in a Real Banach Algebra.

G.N. Hile, W.E. Pfaffenberger (1980)

Mathematische Annalen

The relaxation of the Signorini problem for polyconvex functionals with linear growth at infinity

Jarosław L. Bojarski (2005)

Applicationes Mathematicae

The aim of this paper is to study the unilateral contact condition (Signorini problem) for polyconvex functionals with linear growth at infinity. We find the lower semicontinuous relaxation of the original functional (defined over a subset of the space of bounded variations BV(Ω)) and we prove the existence theorem. Moreover, we discuss the Winkler unilateral contact condition. As an application, we show a few examples of elastic-plastic potentials for finite displacements.

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