Clifford Wavelets, Singular Integrals, and Hardy Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford Wavelets, Singular Integrals, and Hardy Spaces write by Marius Mitrea. This book was released on 2014-01-15. Clifford Wavelets, Singular Integrals, and Hardy Spaces available in PDF, EPUB and Kindle.
Clifford Wavelets, Singular Integrals, and Hardy Spaces
Clifford Wavelets, Singular Integrals, and Hardy Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford Wavelets, Singular Integrals, and Hardy Spaces write by Marius Mitrea. This book was released on 2006-11-15. Clifford Wavelets, Singular Integrals, and Hardy Spaces available in PDF, EPUB and Kindle. The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. Results are applied to potential theory and elliptic boundary value problems on non-smooth domains. The book is self-contained to a large extent and well-suited for graduate students and researchers in the areas of wavelet theory, Harmonic and Clifford Analysis. It will also interest the specialists concerned with the applications of the Clifford algebra machinery to Mathematical Physics.
From Divergent Power Series to Analytic Functions
From Divergent Power Series to Analytic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Divergent Power Series to Analytic Functions write by Werner Balser. This book was released on 1994-08-29. From Divergent Power Series to Analytic Functions available in PDF, EPUB and Kindle. Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Clifford Algebras in Analysis and Related Topics
Clifford Algebras in Analysis and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford Algebras in Analysis and Related Topics write by John Ryan. This book was released on 2018-03-09. Clifford Algebras in Analysis and Related Topics available in PDF, EPUB and Kindle. This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.
Singular Integrals and Fourier Theory on Lipschitz Boundaries
Singular Integrals and Fourier Theory on Lipschitz Boundaries - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Integrals and Fourier Theory on Lipschitz Boundaries write by Tao Qian. This book was released on 2019-03-20. Singular Integrals and Fourier Theory on Lipschitz Boundaries available in PDF, EPUB and Kindle. The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers.
