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Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties, we prove convergence results for sequences of densities $| ϕ_{n} |^{2} = | s_{N} |^{2} / | | s_{N} {| |}_{L^{2}}^{2}$ for eigensections $s_{N} \in Γ (X, L^{N})$ approaching a semiclassical ray. Here $X$ is a normal compact toric variety and $L$ is an ample line bundle equipped with an arbitrary positive bundle metric which is invariant with respect to the compact form of the torus. Our work was motivated by and extends that of Shiffman, Tate and Zelditch....

Asymptotics of polynomial solutions of a class of generalized Lamé differential equations.

Martinez-Finkelshtein, A., Martinez-González, P., Orive, R. (2005)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Asymptotics of some classes of non-oscillatory solutions of second-order half-linear differential equations

K. Takasi, V. Marić, T. Tanigawa (2003)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems.

F.V. Atkinson, A.B. Mingarelli (1987)

Journal für die reine und angewandte Mathematik

Asymptotique de solutions oscillantes d'équations différentielles

Franck Michel (1997)

Annales mathématiques Blaise Pascal

Asymptotique semi-classique pour la densité spectrale locale d'opérateurs de Schrödinger (d'après D. Robert et H. Tamura)

D. Robert (1985/1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

Asymptotische Eigenschaften der Differentialgleichung $y^{''} + 2 a_{1} (x) y^{'} + a_{2} (x) y = 0$

Zdeněk Hustý (1969)

Czechoslovak Mathematical Journal

Asymptotische Eigenschaften der Lösungen des Systems ${A_{n - 1}^{- 1} (x) \dots [A_{1}^{- 1} (x) y^{'}] \dots}^{'} = A_{n} (x) y$

Ivo Res (1973)

Archivum Mathematicum

Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung

Ivo Res (1974)

Archivum Mathematicum

Asymptotische Eigenschaften von Lösungen der Differentialgleichung $y^{''} = A (x) \cdot y$ im nichtoszillatorischen Fall

Jan Mařík, Miloš Ráb (1960)

Czechoslovak Mathematical Journal

Asymptotische Entwicklungen der Lösungen der Differentialgleichung ${[p (x) y^{'}]}^{'} + q (x) y = 0$ im nichtoszillatorischen Fall

Ivo Res (1972)

Časopis pro pěstování matematiky

Asymptotische Formeln für die Lösungen der linearen Differentialgleichungen dritter Ordnung

Ivo Res (1968)

Archivum Mathematicum

Asymptotische Formeln für die Lösungnen der Differentialgleichung $y^{''} + 2 q_{1} (x) y^{'} + q_{2} (x) y = 0$

Zdeněk Hustý (1971)

Časopis pro pěstování matematiky

Asypmtotic formulas of eigenvalues and eigenfucntions on non-autonomous semilinear Sturm-Liouville problems.

Tetsutaro Shibata (1995)

Mathematische Zeitschrift

At the Origins of Functional Analysis: G. Peano and M. Gramegna on Ordinary Differential Equations

Erika Luciano (2006)

Revue d'histoire des mathématiques

In the context of the theory of infinite matrices and linear operators, two articles by Peano and by Gramegna on systems of linear differential equations have interesting implications for the reconstruction of research on functional analysis between 1887 and 1910. With the aim of evaluating their historical value, linked to logic and vector calculus, this paper provides a detailed analysis of their treatment, demonstrating the modernity of the analytic tools used. In this paper we also reveal the...

Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials.

Yamazaki, Noriaki (2002)

Abstract and Applied Analysis

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