Heat Kernels and Spectral Theory

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Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.

Heat Kernel and Analysis on Manifolds

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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

Spectral Theory and Differential Operators

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This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on partial differential operators

Spectral Graph Theory

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This text discusses spectral graph theory.

Heat Kernels and Dirac Operators

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In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations