Analysis of the Hodge Laplacian on the Heisenberg Group - 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 Analysis of the Hodge Laplacian on the Heisenberg Group write by Detlef Muller. This book was released on 2014-12-20. Analysis of the Hodge Laplacian on the Heisenberg Group available in PDF, EPUB and Kindle. The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1
Geometric Aspects of Harmonic Analysis
Geometric Aspects of Harmonic Analysis - 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 Geometric Aspects of Harmonic Analysis write by Paolo Ciatti. This book was released on 2021-09-27. Geometric Aspects of Harmonic Analysis available in PDF, EPUB and Kindle. This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.
Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms - 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 Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms write by Alexander Nagel. This book was released on 2019-01-08. Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms available in PDF, EPUB and Kindle. The authors study algebras of singular integral operators on R and nilpotent Lie groups that arise when considering the composition of Calderón-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded on for . . While the usual class of Calderón-Zygmund operators is invariant under a one-parameter family of dilations, the operators studied here fall outside this class, and reflect a multi-parameter structure.
Deformation Quantization for Actions of Kahlerian Lie Groups
Deformation Quantization for Actions of Kahlerian Lie Groups - 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 Deformation Quantization for Actions of Kahlerian Lie Groups write by Pierre Bieliavsky. This book was released on 2015-06-26. Deformation Quantization for Actions of Kahlerian Lie Groups available in PDF, EPUB and Kindle. Let B be a Lie group admitting a left-invariant negatively curved Kählerian structure. Consider a strongly continuous action of B on a Fréchet algebra . Denote by the associated Fréchet algebra of smooth vectors for this action. In the Abelian case BR and isometric, Marc Rieffel proved that Weyl's operator symbol composition formula (the so called Moyal product) yields a deformation through Fréchet algebra structures R on . When is a -algebra, every deformed Fréchet algebra admits a compatible pre- -structure, hence yielding a deformation theory at the level of -algebras too. In this memoir, the authors prove both analogous statements for general negatively curved Kählerian groups. The construction relies on the one hand on combining a non-Abelian version of oscillatory integral on tempered Lie groups with geom,etrical objects coming from invariant WKB-quantization of solvable symplectic symmetric spaces, and, on the second hand, in establishing a non-Abelian version of the Calderón-Vaillancourt Theorem. In particular, the authors give an oscillating kernel formula for WKB-star products on symplectic symmetric spaces that fiber over an exponential Lie group.
Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Irreducible Almost Simple Subgroups of Classical Algebraic Groups - 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 Irreducible Almost Simple Subgroups of Classical Algebraic Groups write by Timothy C. Burness. This book was released on 2015-06-26. Irreducible Almost Simple Subgroups of Classical Algebraic Groups available in PDF, EPUB and Kindle. Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a nontrivial -restricted irreducible tensor indecomposable rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where and is a disconnected almost simple positive-dimensional closed subgroup of acting irreducibly on . Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples where is a simple algebraic group over , and is a maximal closed subgroup of positive dimension.
