A canonical trace associated with certain spectral triples.

Paycha, Sylvie

Displaying similar documents to “A canonical trace associated with certain spectral triples.”

Analyticity of a joint spectrum and a multivariable analytic Fredholm theorem. (Analyticity of a joint spectrum and a multivariable analytic Fredhom theorem.)

Stessin, M., Yang, R., Zhu, K. (2011)

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Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)

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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.

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Yang, Weifeng (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

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Higher regularizations of zeros of cuspidal automorphic $L$ -functions of ${GL}_{d}$

Masato Wakayama, Yoshinori Yamasaki (2011)

Journal de Théorie des Nombres de Bordeaux

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We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic $L$ -functions of ${GL}_{d}$ over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.

The ratio of invariant metrics on the annulus and theta functions

Kazuo Azukawa (1995)

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Small divisors and large multipliers

Boele Braaksma, Laurent Stolovitch (2007)

Annales de l’institut Fourier

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We study germs of singular holomorphic vector fields at the origin of $ℂ^{n}$ of which the linear part is $1$ -resonant and which have a polynomial normal form. The formal normalizing diffeomorphism is usually divergent at the origin but there exists holomorphic diffeomorphisms in some “sectorial domains” which transform these vector fields into their normal form. In this article, we study the interplay between the small divisors phenomenon and the Gevrey character of the sectorial normalizing...

On the spectral properties of translation operators in one-dimensional tubes

Wojciech Hyb (1991)

Annales Polonici Mathematici

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We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).

Extension phenomena for holomorphic geometric structures.

Mckay, Benjamin (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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