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Book Description HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FM-9780521830478
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Book Description HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FM-9780521830478
Book Description Hardcover. Condition: new. Hardcover. Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. Many extremal problems in mathematics and physics have symmetric solutions whose analytic and geometric properties often have elegant formulations. This book develops and applies symmetrization techniques in geometry, PDEs, and real and complex analysis. It will be a valuable reference, with self-contained treatments of all the major theorems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521830478
Book Description Condition: New. Seller Inventory # 8103833
Book Description Hardcover. Condition: Brand New. 473 pages. 9.00x6.00x1.25 inches. In Stock. Seller Inventory # __0521830478
Book Description Condition: New. 2019. Hardcover. . . . . . Seller Inventory # V9780521830478
Book Description Hardcover. Condition: new. Hardcover. Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. Many extremal problems in mathematics and physics have symmetric solutions whose analytic and geometric properties often have elegant formulations. This book develops and applies symmetrization techniques in geometry, PDEs, and real and complex analysis. It will be a valuable reference, with self-contained treatments of all the major theorems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521830478
Book Description Condition: New. Über den AutorAlbert Baernstein, II was Professor in the Department of Mathematics at Washington University, St Louis before his death in 2014. He gained international renown for innovative solutions to extremal problems in complex . Seller Inventory # 257176518