Well-posedness of Einstein's equation with redshift data
We study the solvability of a system of ordinary differential equations derived from null geodesics of the Lemaître–Tolman–Bondi metric with data given in terms of a so-called redshi...
We study the solvability of a system of ordinary differential equations derived from null geodesics of the Lemaître–Tolman–Bondi metric with data given in terms of a so-called redshi...
Markov property of Gaussian states of canonical commutation relation algebras
The Markov property of Gaussian states of canonical commutation relation algebras is studied. The detailed description is given by the representing block matrix. The proof is short and allows infinite...
The Markov property of Gaussian states of canonical commutation relation algebras is studied. The detailed description is given by the representing block matrix. The proof is short and allows infinite...
On some properties of orthogonal Weingarten functions
J. Math. Phys. 50, 113516 (2009); doi:10.1063/1.3251304
Published 18 November 2009
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We give a Fourier-type formula for computing the orthogonal Weingarten formula. The Weingarten calculus was introduced as a systematic method to compute integrals of polynomials with respect to Haar measure over classical groups. Although a Fourier-type formula was known in the unitary case, the orthogonal counterpart was not known. It relies on the Jack polynomial generalization of both Schur and zonal polynomials. This formula substantially reduces the complexity involved in the computation of Weingarten formulas. We also describe a few more new properties of the Weingarten formula, state a conjecture, and give a table of values.
©2009 American Institute of Physics
| History: | Received 24 July 2009; accepted 10 September 2009; published 18 November 2009 |
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http://link.aip.org/link/?JMAPAQ/50/113516/1 |
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REFERENCES (12)
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