Relevant bibliographies by topics / Dixmier trace

Academic literature on the topic 'Dixmier trace'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Dixmier trace"

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Guichardet, Alain. "La trace de Dixmier et autres traces." L’Enseignement Mathématique 61, no. 3 (2015): 461–81. http://dx.doi.org/10.4171/lem/61-3/4-8.

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Bommier-Hato, Hélène, Miroslav Engliš, and El-Hassan Youssfi. "Dixmier trace and the Fock space." Bulletin des Sciences Mathématiques 138, no. 2 (March 2014): 199–224. http://dx.doi.org/10.1016/j.bulsci.2013.04.009.

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Upmeier, Harald, and Kai Wang. "Dixmier trace for Toeplitz operators on symmetric domains." Journal of Functional Analysis 271, no. 3 (August 2016): 532–65. http://dx.doi.org/10.1016/j.jfa.2016.04.022.

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Carey, Alan L., Adam Rennie, Aleksandr Sedaev, and Fyodor Sukochev. "The Dixmier trace and asymptotics of zeta functions." Journal of Functional Analysis 249, no. 2 (August 2007): 253–83. http://dx.doi.org/10.1016/j.jfa.2007.04.011.

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FALCONER, KENNETH, and TONY SAMUEL. "Dixmier traces and coarse multifractal analysis." Ergodic Theory and Dynamical Systems 31, no. 2 (February 2, 2010): 369–81. http://dx.doi.org/10.1017/s0143385709001102.

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AbstractWe show how multifractal properties of a measure supported by a fractal F⊆[0,1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a non-commutative integral over F equivalent to integration with respect to an auxiliary multifractal measure.
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Muhly, Paul S., and Dana P. Williams. "The Dixmier-Douady class of groupoid crossed products." Journal of the Australian Mathematical Society 76, no. 2 (April 2004): 223–34. http://dx.doi.org/10.1017/s1446788700008910.

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AbstractWe give a formula for the Dixmier-Douady class of a continuous-trace groupoid crossed product that arises from an action of a locally trivial, proper, principal groupoid on a bundle of elementary C*-algebras that satisfies Fell's condition.
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Azamov, N., E. McDonald, F. Sukochev, and D. Zanin. "A Dixmier Trace Formula for the Density of States." Communications in Mathematical Physics 377, no. 3 (May 13, 2020): 2597–628. http://dx.doi.org/10.1007/s00220-020-03756-7.

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Connes, A. "Trace de dixmier, modules de fredholm et geometrie riemannienne." Nuclear Physics B - Proceedings Supplements 5, no. 2 (December 1988): 65–70. http://dx.doi.org/10.1016/0920-5632(88)90369-6.

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Engliš, Miroslav, and Genkai Zhang. "Hankel operators and the Dixmier trace on the Hardy space." Journal of the London Mathematical Society 94, no. 2 (June 10, 2016): 337–56. http://dx.doi.org/10.1112/jlms/jdw037.

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Engliš, Miroslav, and Richard Rochberg. "The Dixmier trace of Hankel operators on the Bergman space." Journal of Functional Analysis 257, no. 5 (September 2009): 1445–79. http://dx.doi.org/10.1016/j.jfa.2009.05.005.

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Dissertations / Theses on the topic "Dixmier trace"

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Tytgat, Romaric. "Trace de Dixmier d'opérateurs de Hankel." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4772/document.

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Nous nous intéressons aux opérateurs de Hankel $H_{bar{f}}$ de symbole anti holomorphe $bar{f}$ et regardons l'espace de Dixmier $mathcal{D}^{p}$ associé ($pgeq1$), c'est à dire l'ensemble des $f$ tel que $|H_{bar{f}}|^{p}$ soit dans l'idéal de Macaev $mathcal{S}^{+}_{1}$. Notre approche est de voir l'espace de Dixmier comme une certaine limite des classes de Schatten. Quand $f in mathcal{D}^{p}$, nous étudions $Tr_{omega}(|$H_{bar{f}}$|^{p})$ la trace de Dixmier de $|H_{bar{f}}|^{p}$. Nous redémontrons certains résultats classiques quand $f$ est holomorphe sur le disque alors que nous donnons de nouveaux résultats quand $f$ est entière. Nous utilisons notre méthode pour étudier l'espace de Dixmier du petit opérateur de Hankel, des opérateurs de Toeplitz $T_{varphi}$ ($varphi$ définie sur le disque ou sur le plan complexe tout entier) ainsi que pour l'opérateur de composition
We study Hankel operators $H_{bar{f}}$ with anti holomorphic symbol $bar{f}$ and we are interested to the Dixmier space $mathcal{D}^{p}$ ($pgeq1$), the set of functions $f$ such that $|H_{bar{f}}|^{p} in mathcal{S}^{+}_{1}$ the Macaev ideal. We look Dixmier space as a limit of Schatten class. When $f in mathcal{D}^{p}$, we study $Tr_{omega}(|$H_{bar{f}}$|^{p})$ the Dixmier trace of $|H_{bar{f}}|^{p}$. We have different results when $f$ is an entire or a holomorphic function of the unit disk in the complex plan. We study also the Dixmier space of the little Hankel operator, Toeplitz operator and composition operator
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Azamov, Nurulla, and azam0001@infoeng flinders edu au. "Spectral shift function in von Neumann algebras." Flinders University. Informatics and Engineering, 2008. http://catalogue.flinders.edu.au./local/adt/public/adt-SFU20080129.121422.

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The main subsect of this thesis is the theory of Lifshits-Krein spectral shift function in semifinite von Neumann algebras and its connection with the theory of spectral flow. Main results are an analogue of the Krein trace formula for semifinite von Neumann algebras, the semifinite analogue of the Birman-Solomyak spectral averaging formula, a connection between the spectral shift function and the spectral flow and a Lidskii type formula for Dixmier traces. In particular, it is established that in the case of operators with compact resolvent, the spectral shift function and the spectral flow are identical notions.
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Schrohe, Elmar. "Noncommutative residues, Dixmier's Trace, and heat trace expansions on manifolds with boundary." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2548/.

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For manifolds with boundary, we define an extension of Wodzicki's noncommutative residue to boundary value problems in Boutet de Monvel's calculus. We show that this residue can be recovered with the help of heat kernel expansions and explore its relation to Dixmier's trace.
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Book chapters on the topic "Dixmier trace"

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Nicola, Fabio, and Luigi Rodino. "Non-Commutative Residue and Dixmier Trace." In Global Pseudo-Differential Calculus on Euclidean Spaces, 203–25. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8512-5_7.

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Cardona, Duván, and César Del Corral. "The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds." In Trends in Mathematics, 121–63. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58215-9_5.

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Lord, Steven, Fedor A. Sukochev, and Dmitriy Zanin. "Advances in Dixmier traces and applications." In Advances in Noncommutative Geometry, 491–583. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29597-4_9.

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"6 Dixmier traces and positive traces." In Theory, 185–224. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110378054-008.

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