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Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Language: en
Pages: 526
Authors: Alexander Grigor'yan
Categories: Mathematics
Type: BOOK - Published: 2021-01-18 - Publisher: Walter de Gruyter GmbH & Co KG

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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Language: en
Pages: 556
Authors: Alexander Grigor'yan
Categories: Mathematics
Type: BOOK - Published: 2021-01-18 - Publisher: Walter de Gruyter GmbH & Co KG

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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in
The Sub-Laplacian Operators of Some Model Domains
Language: en
Pages: 266
Authors: Der-Chen Chang
Categories: Mathematics
Type: BOOK - Published: 2022-08-01 - Publisher: Walter de Gruyter GmbH & Co KG

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The book studies sub-Laplacian operators on a family of model domains in C^{n+1}, which is a good point-wise model for a $CR$ manifold with non-degenerate Levi
Real Hypersurfaces in Hermitian Symmetric Spaces
Language: en
Pages: 388
Authors: Jürgen Berndt
Categories: Mathematics
Type: BOOK - Published: 2022-04-04 - Publisher: Walter de Gruyter GmbH & Co KG

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Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introdu
Heat Kernel and Analysis on Manifolds
Language: en
Pages: 504
Authors: Alexander Grigoryan
Categories: Education
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result o