Results 51 to 60 of about 195,474,842 (108)
Kazdan–Warner obstructions for a fourth‐order boundary problem
Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
wiley +1 more source
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
Lefschetz decompositions of Kudla–Millson theta functions
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source
Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations [PDF]
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several earlier works.
O'Regan, Donal +3 more
core +1 more source
A distinct semi‐confined inner‐tube chemical vapor deposition geometry enables reproducible, large‐area growth of phase‐pure 2D β′‐In2Se3 from InI + Se precursors. Engineering local vapor transport and optimizing precursor delivery and temperature–time conditions yield uniform continuous films.
Dasun P. W. Guruge +8 more
wiley +1 more source
Application of Measure of Noncompactness to Infinite Systems of Differential Equations
In this paper we determine theHausdorff measure of noncompactness on the sequence space n(ϕ) ofW. L. C. Sargent. Further we apply the technique of measures of noncompactness to the theory of infinite systems of differential equations in the Banach ...
M. Mursaleen
core +1 more source
Note on measures of noncompactness in Banach sequence spaces
The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
Martinón Cejas, Antonio, Banas, Józef
core +1 more source
An elegant model of the geodesic flow on the modular surface
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley +1 more source
Tripled fixed point results via a measure of noncompactness with applications
In this paper, we create tripled fixed point outcomes via a subjective measure of noncompactness in the sense of Banas and Goebel. Furthermore, we introduce some applications of the measure of noncompactness notion to functional equations including ...
Arab, Reza +2 more
core +1 more source
On the Meaning of Localization in Non‐Local Quantum Field Theory
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source

