Substochastic operators in symmetric spaces
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DOI: 10.1002/mana.12029
Abstract: First, we solve a crucial problem under which conditions increasing uniform K$K$ ‐monotonicity is equivalent to lower local uniform K$K$ ‐monotonicity. Next, we investigate properties of substochastic operators on L1+L∞$L^1+L^\infty$ with applications. Namely, we show… read more here.
Keywords: substochastic operators; operators symmetric; symmetric spaces; monotonicity ... See more keywords
Representations with $$\mathsf{Sp}(1)^k$$Sp(1)k-reductions and quaternion-Kähler symmetric spaces
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DOI: 10.1007/s00209-017-2031-8
Abstract: We classify non-polar irreducible representations of connected compact Lie groups whose orbit space is isometric to that of a representation of a finite extension of $$\mathsf{Sp}(1)^k$$Sp(1)k for some $$k>0$$k>0. It follows that they are obtained… read more here.
Keywords: representations mathsf; symmetric spaces; hler symmetric; mathsf reductions ... See more keywords
Convergence of measures on compactifications of locally symmetric spaces
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DOI: 10.1007/s00209-020-02558-w
Abstract: We conjecture that the set of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space $$S=\Gamma \backslash G/K$$ S = Γ \ G / K is compact. More precisely, given… read more here.
Keywords: convergence measures; symmetric spaces; measures compactifications; compactifications locally ... See more keywords
On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators
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DOI: 10.1007/s11856-017-1585-9
Abstract: It is shown that the pre-dual of a σ-finite von Neumann algebra has property (k) in the sense of Figiel, Johnson and Pelczyński [12]. This resolves in the affirmative an open question raised in [12].… read more here.
Keywords: duals symmetric; convergent sequences; weak convergent; sequences duals ... See more keywords
Counting Borel Orbits in Symmetric Spaces of Types BI and CII
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DOI: 10.1007/s40598-018-0092-3
Abstract: This is a continuation of our combinatorial program on the enumeration of Borel orbits in symmetric spaces of classical types. Here, we determine the generating series the numbers of Borel orbits in $${\mathbf {SO}}_{2n+1}/{\mathbf {S(O}}_{2p}\times… read more here.
Keywords: borel orbits; symmetric spaces; orbits symmetric; counting borel ... See more keywords
Generic representations for symmetric spaces
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DOI: 10.1016/j.aim.2019.03.016
Abstract: For a connected quasi-split reductive algebraic group $G$ over a field $k$, which is either a finite field or a non-archimedean local field, $\theta$ an involutive automorphism of $G$ over $k$, let $K =G^\theta$. Let… read more here.
Keywords: representations symmetric; field; theta; generic representations ... See more keywords
Orbital integrals on Lorentzian symmetric spaces
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DOI: 10.1016/j.geomphys.2018.12.005
Abstract: Abstract In this paper, we address the problem of determining a function in terms of its orbital integrals on Lorentzian symmetric spaces. It has been solved by Helgason (1959) for even-dimensional isotropic Lorentzian symmetric spaces… read more here.
Keywords: orbital integrals; symmetric spaces; geometry; isotropic ... See more keywords
Scattering theory for the Laplacian on symmetric spaces of noncompact type and its application to a conjecture of Strichartz
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.11.005
Abstract: Abstract In this paper we develop the scattering theory for the Laplacian on symmetric spaces of noncompact type. We study the asymptotic properties of the resolvent in the framework of the Agmon–Hormander space. Our approach… read more here.
Keywords: noncompact type; laplacian symmetric; theory laplacian; scattering theory ... See more keywords
Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces
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DOI: 10.1063/1.5109244
Abstract: We construct radial fundamental solutions for the differential form Laplacian on negatively curved symmetric spaces. At least one of these Green's functions also yields a Biot-Savart Opearator, i.e. a right inverse of the exterior differential… read more here.
Keywords: curved symmetric; biot savart; negatively curved; symmetric spaces ... See more keywords
Geodesic mappings of spaces with affine connnection onto generalized Ricci symmetric spaces
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DOI: 10.2298/fil1914475b
Abstract: The presented work is devoted to study of the geodesic mappings of spaces with affine connection onto generalized Ricci symmetric spaces. We obtained a fundamental system for this problem in a form of a system… read more here.
Keywords: geodesic mappings; ricci symmetric; generalized ricci; symmetric spaces ... See more keywords
Symmetric Spaces of Qubits and Gaussian Modes
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DOI: 10.3390/sym17020292
Abstract: The understanding of the properties of multipartite systems is a long-standing challenge in quantum theory that signals the need for new ideas and alternative frameworks that can shed light on the intricacies of quantum behavior.… read more here.
Keywords: spaces qubits; gaussian modes; language; qubits gaussian ... See more keywords