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Geometric Analysis on Symmetric Spaces
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A duality in integral geometry A duality for symmetric spaces The fourier transform on a symmetric space The Radon transform on $ X$ and on $X_o$ Range questions Differential equations on symmetric Spaces Eigenspace representations Solutions to exercises Bibliography Symbols frequently used Index as discussed by the authorsAbstract:
A duality in integral geometry A duality for symmetric spaces The fourier transform on a symmetric space The Radon transform on $X$ and on $X_o$. Range questions Differential equations on symmetric spaces Eigenspace representations Solutions to exercises Bibliography Symbols frequently used Index.read more
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Heat Kernel and Green Function Estimates on Noncompact Symmetric Spaces
Jean Philippe Anker,Lizhen Ji +1 more
TL;DR: In this paper, the authors obtained optimal upper and lower bounds for the heat kernel $h_t(x,y)$ (as well as asymptotics and estimates of its derivatives).
Journal ArticleDOI
Partition functions and double-trace deformations in AdS/CFT
D. E. Diaz,Harald Dorn +1 more
TL;DR: In this paper, the effect of double-trace deformation on the partition function and conformal anomaly of a CFTd at large N and its dual picture in AdSd+1 was studied.
Book
Causal symmetric spaces : geometry and harmonic analysis
Joachim Hilgert,Gestur Ólafsson +1 more
TL;DR: In this article, the authors introduce the notion of causal galois connections and the concept of causal symmetric spaces, which is a generalization of the idea of causal orientations.
Proceedings Article
A new metric on the manifold of kernel matrices with application to matrix geometric means
TL;DR: A new metric on spd matrices is introduced, which not only respects non-Euclidean geometry but also offers faster computation than δR while being less complicated to use.
References
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Book
Special Functions and the Theory of Group Representations
TL;DR: In this paper, a standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special function are related to (and derived from) simple well-known facts of representation theory.
Book
Strong Rigidity of Locally Symmetric Spaces.
TL;DR: In this paper, a metric definition of the Maximal Boundary is defined and a map of R-Rank 1 is presented. But this map does not cover all R-rank 1 spaces.
Book
Representation Theory of Semisimple Groups: An Overview Based on Examples
TL;DR: In this article, Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process.