书目名称 | Heat Kernel on Lie Groups and Maximally Symmetric Spaces | 编辑 | Ivan G. Avramidi | 视频video | | 概述 | Studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.Introduces many original ideas, methods, and tools developed by the author.Provides a list of all kn | 丛书名称 | Frontiers in Mathematics | 图书封面 |  | 描述 | .This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions.This text will be a valuable resource for researchers and graduate students working in various areas of mathematics – such as global analysis, spectral geometry, stochastic processes, and financial mathematics – as well in areas of mathematical and theoretical physics – including quantum field theory, quantum gravity, string theory, and statistical physics.. | 出版日期 | Book 2023 | 关键词 | Heat Kernel; Heat Kernel Lie Groups; Heat Kernel Maximally Symmetric Spaces; Scalar Heat Kernel; Spinor | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-27451-0 | isbn_softcover | 978-3-031-27450-3 | isbn_ebook | 978-3-031-27451-0Series ISSN 1660-8046 Series E-ISSN 1660-8054 | issn_series | 1660-8046 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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