相关论文: A note on a quantization via the Ran space

In this note we prove a weighted version of the Khintchine inequalities.

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

We give a new proof of Chen-Lin result with Li-Zhang method.

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a…

The issue and proof of Gurzadyan theorem are presented concisely, avoiding tedious and unnecessary calculations that would mask what is essential. The goal is to provide a good mathematical and physical understanding of the theorem, making…

We prove the existence of a Berezin-Engli\v{s} quantization for Cartan-Hartogs domains.

We describe a new viewpoint on canonical quantization of linear fields on a general curved background that encompasses and generalizes the standard treatment of canonical QFT given in textbooks. Our method permits the construction of pure…

This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).

This article continues and completes our previous work [14] J. Phys. Commun. 2 (2018) 025007. First of all, we present two methods of quantization associated with a linear connection given on a differentiable manifold, one of them being the…

A class of exact membrane solutions is quantized.

This paper is a survey of author's mathematical and logical study of the problem of quantization of fields.

We prove some new results related to Tanaka's formula.

We revise the problem of the quantization of relativistic particle, presenting a modified consistent canonical scheme, which allows one not only to include arbitrary backgrounds in the consideration but to get in course of the quantization…

In this short note, we give a new proof of a theorem of Arezzo-Tian on the existence of smooth geodesic rays tamed by a special degeneration.

In this paper we study relative Riemann-Zariski spaces attached to a morphism of schemes and generalizing the classical Riemann-Zariski space of a field. We prove that similarly to the classical RZ spaces, the relative ones can be described…

The canonical quantization of the modified geodetic brane cosmology which is implemented from the Regge-Teitelboim model and the trace of the extrinsic curvature of the brane trajectory, K, is developed. As a second-order derivative model,…

In this note, we prove a quantization formula for singular reductions. The main result is obtained as a simple application of an extended quantization formula proved in [TZ2].

We prove that a homogeneous bounded domain admits a Berezin quantization.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.