The hessian of quantized ding functionals and its asymptotic behavior

Takahashi Ryosuke

doi:10.2996/kmj/1530496843

The hessian of quantized ding functionals and its asymptotic behavior

Takahashi Ryosuke

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We compute the Hessian of quantized Ding functionals and give an elementary proof for the convexity of quantized Ding functionals along Bergman geodesics from the view point of projective geometry. We study also the asymptotic behavior of the Hessian using the Berezin-Toeplitz quantization.

Original language	English
Pages (from-to)	301-314
Number of pages	14
Journal	Kodai Mathematical Journal
Volume	41
Issue number	2
DOIs	https://doi.org/10.2996/kmj/1530496843
Publication status	Published - 2018 Jan 1
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "We compute the Hessian of quantized Ding functionals and give an elementary proof for the convexity of quantized Ding functionals along Bergman geodesics from the view point of projective geometry. We study also the asymptotic behavior of the Hessian using the Berezin-Toeplitz quantization.",

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AB - We compute the Hessian of quantized Ding functionals and give an elementary proof for the convexity of quantized Ding functionals along Bergman geodesics from the view point of projective geometry. We study also the asymptotic behavior of the Hessian using the Berezin-Toeplitz quantization.

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The hessian of quantized ding functionals and its asymptotic behavior

Abstract

All Science Journal Classification (ASJC) codes

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