Cantitate/Preț
Produs

Geometric Harmonic Analysis III: Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering: Developments in Mathematics, cartea 74

Autor Dorina Mitrea, Irina Mitrea, Marius Mitrea
en Limba Engleză Hardback – 13 mai 2023
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations.
Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.
 
Citește tot Restrânge

Din seria Developments in Mathematics

Preț: 118973 lei

Preț vechi: 145089 lei
-18% Nou

Puncte Express: 1785

Preț estimativ în valută:
22777 24678$ 19020£

Carte tipărită la comandă

Livrare economică 12-26 decembrie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783031227349
ISBN-10: 3031227344
Ilustrații: XVII, 972 p. 2 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 1.55 kg
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria Developments in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Introduction and Statement of Main Results Concerning the Divergence Theorem.- Examples, Counterexamples, and Additional Perspectives.- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis.- Open Sets with Locally Finite Surface Measures and Boundary Behavior.- Proofs of the Main Results Pertaining to the Divergence Theorem.- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.


Recenzii

“The complete set of volumes promises to deliver most of what is known about solving elliptic equations and systems on various kinds of flat domains under minimal conditions on the flatness (local and global) of the domains.” (Raymond Johnson, zbMATH 1523.35001, 2023)

Notă biografică


 

Textul de pe ultima copertă

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations.

Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.


Caracteristici

Presents a comprehensive novel theory for singular integral operators in optimal geometrical settings A great deal of applications are explored in detail The key results are new, with complete, essentially self-contained proofs