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Titlebook: Heat Kernel on Lie Groups and Maximally Symmetric Spaces; Ivan G. Avramidi Book 2023 The Editor(s) (if applicable) and The Author(s), unde

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发表于 2025-3-21 16:36:43 | 显示全部楼层 |阅读模式
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Titlebook: Heat Kernel on Lie Groups and Maximally Symmetric Spaces;  Ivan G. Avramidi Book 2023 The Editor(s) (if applicable) and The Author(s), unde
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
doihttps://doi.org/10.1007/978-3-031-27451-0
isbn_softcover978-3-031-27450-3
isbn_ebook978-3-031-27451-0Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:15:01 | 显示全部楼层
Heat Kernel on Lie Groups and Maximally Symmetric Spaces978-3-031-27451-0Series ISSN 1660-8046 Series E-ISSN 1660-8054
发表于 2025-3-22 00:43:45 | 显示全部楼层
Ivan G. AvramidiStudies 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
发表于 2025-3-22 05:15:06 | 显示全部楼层
Frontiers in Mathematicshttp://image.papertrans.cn/h/image/424988.jpg
发表于 2025-3-22 12:13:13 | 显示全部楼层
Ivan AvramidiEines der wichtigsten Themen, das unter anderem in den Reaktionen auf Gesetzesentwürfe immer wieder auftaucht, ist das Bestellerprinzip. Dessen Einführung wäre das Panazee, um die Unzulänglichkeiten in der Maklerbranche zu beheben.
发表于 2025-3-22 13:43:46 | 显示全部楼层
Scalar Heat KernelIn this chapter we show that the calculation of the scalar heat kernel and the resolvent on .-dimensional spheres . and hyperbolic spaces . can be reduced to one and two dimensions. We explicitly compute the scalar heat kernel and the resolvent first in one and two dimensions and then for an arbitrary dimension.
发表于 2025-3-22 19:01:57 | 显示全部楼层
Spinor Heat KernelIn this chapter we show that the spinor heat trace on the sphere . can be computed by purely algebraic methods. We also explicitly compute the spinor heat kernel and the resolvent on the spheres . and the hyperbolic spaces ..
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