ABSTRACT The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. No…
Berisi eksposisi terperinci dan mudah diikuti tentang grup Lie nilpoten dan homogen dan operator homogen pada grup tersebut, Menampilkan pengembangan konsisten teori ruang Sobolev pada grup Lie bertingkat, Memberikan pengembangan terperinci analisis pseudo-diferensial pada grup Lie bertingkat. ;;; Buku ini menyajikan pengembangan konsisten teori kuantisasi global tipe Kohn-Nirenberg dalam penga…
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing mo…
Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th …
Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical Physics
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this t…