Zobrazeno 1 - 10 of 84 pro vyhledávání: '"B, Stenzel"'
1
The Poisson transform on a compact real analytic Riemannian manifold
Autor: Matthew B. Stenzel
Publikováno v: Monatshefte für Mathematik. 178:299-309
We study the transform mapping an \(L^{2}\) function f on a compact, real analytic Riemannian manifold X to the analytic continuation of \(\exp (-t \sqrt{\Delta })f\) to the interior of a Grauert tube tube \(M_{t}\) about X. We show that after precom
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9b3b8a89cb90d6ebd3f8c9e543425718
https://doi.org/10.1007/s00605-015-0798-4
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2
On the analytic continuation of the Poisson kernel
Autor: Matthew B. Stenzel
Publikováno v: Manuscripta Mathematica. 144:253-276
We give a “heat equation” proof of a theorem which says that for all e sufficiently small, the map \({S_{\epsilon} \colon f \mapsto \exp(- \epsilon \sqrt{\Delta})f}\) extends to an isomorphism from Hs(X) to \({\mathcal{O}^{s + (n-1)/4}(\partial M
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b36a253a4467277f65602408c998078a
https://doi.org/10.1007/s00229-013-0653-7
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3
A Reconstruction Theorem for Riemannian Symmetric Spaces of Noncompact Type
Autor: Matthew B. Stenzel
Publikováno v: Journal of Fourier Analysis and Applications. 15:839-856
Let f be a rapidly decreasing radial function on a Riemannian symmetric space of noncompact type whose spherical Fourier transform has compact support. We prove a reconstruction theorem which recovers f from the values of an integral operator applied
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6a13b3764a739597db9ad006a1ea7273
https://doi.org/10.1007/s00041-009-9090-0
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4
An inversion formula for the Segal–Bargmann transform on a symmetric space of non-compact type
Autor: Matthew B. Stenzel
Publikováno v: Journal of Functional Analysis. 240(2):592-608
We prove analogs of the heat kernel transform inversion formulae of Golse, Leichtnam and the author [E. Leichtnam, F. Golse, M. Stenzel, Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian ma
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84515e986295423449de6ed0f0316872
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6
Orbits of the geodesic flow and chains on the boundary of a Grauert tube
Autor: Matthew B. Stenzel
Publikováno v: Mathematische Annalen. 322:383-399
A \(C^{\omega}\) Riemannian manifold (X,g) determines an integrable complex structure on a tubular neighborhood, \(T^{*\epsilon}X\), of the zero section in \(T^{*}X\) and a CR-structure on the boundary, \(M^{\epsilon}\). There are two natural familie
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dd5eb422885c370da7e23e63484c8659
https://doi.org/10.1007/s002080100275
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7
The Segal–Bargmann Transform on a Symmetric Space of Compact Type
Autor: Matthew B. Stenzel
Publikováno v: Journal of Functional Analysis. 165:44-58
We study the Segal–Bargmann transform on a symmetric space X of compact type, mapping L 2 ( X ) into holomorphic functions on the complexification X C . We invert this transform by integrating against a “dual” heat kernel measure in the fibers
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e8e20a1bfa8507e4b959e2bb3db94b6
https://doi.org/10.1006/jfan.1999.3396
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8
[Untitled]
Autor: Matthew B. Stenzel
Publikováno v: Annals of Global Analysis and Geometry. 15:243-262
We give an explicit and reasonably simple expression for the curvature tensor of a Θ-metric at boundary points, in terms of the metric tensor and invariants of the Θ-structure. We examine the behavior of the induced metric on level sets of a defini
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::61820594ecaafe9686d6375b99b333a9
https://doi.org/10.1023/a:1006538612059
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