Calculus on Heisenberg Manifolds. (AM-119), Volume 119
()
About this ebook
A classic treatment of the hypoelliptic calculus on Heisenberg Manifolds
The classical pseudodifferential calculus is well adapted to detailed study of elliptic operators such as the Laplacian associated to the De Rham complex. This book develops a full asymptotic calculus adapted to certain second order operators which are hypoelliptic but not elliptic. The motivating example is the operator _b associated to the ∂_b-complex on a CR-manifold. Like the Laplacian, _b is a natural operator of intrinsic interest, a prototype of a general class, and a test case. Principal terms of parametrices and other operators associated to _b are calculated on both the symbol side and the kernel side. It is hoped that this viewpoint on pseudodifferential operators will be fruitful in attacking other nonelliptic problems, including more degenerate cases of _b.
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are again available in paperback.
Related to Calculus on Heisenberg Manifolds. (AM-119), Volume 119
Titles in the series (100)
The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Rating: 0 out of 5 stars0 ratingsConsistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsAlgebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsContributions to Fourier Analysis. (AM-25) Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games (AM-37) Rating: 1 out of 5 stars1/5Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Transcendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsAutomata Studies. (AM-34), Volume 34 Rating: 5 out of 5 stars5/5Surface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratings
Related ebooks
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 Rating: 0 out of 5 stars0 ratingsElements of Analytical Dynamics Rating: 0 out of 5 stars0 ratingsSimple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 Rating: 0 out of 5 stars0 ratingsDifference Equations in Normed Spaces: Stability and Oscillations Rating: 0 out of 5 stars0 ratingsA Course of Mathematics for Engineers and Scientists: Volume 1 Rating: 0 out of 5 stars0 ratingsC*-Algebra Extensions and K-Homology. (AM-95), Volume 95 Rating: 0 out of 5 stars0 ratingsOperational Calculus in Two Variables and Its Applications Rating: 0 out of 5 stars0 ratingsBeijing Lectures in Harmonic Analysis. (AM-112), Volume 112 Rating: 0 out of 5 stars0 ratingsLectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 Rating: 0 out of 5 stars0 ratingsIntroduction to Algebraic Geometry and Algebraic Groups Rating: 0 out of 5 stars0 ratingsA Course of Higher Mathematics Rating: 0 out of 5 stars0 ratingsSeminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 Rating: 3 out of 5 stars3/5Numerical Algebra Rating: 0 out of 5 stars0 ratingsThe Convolution Transform Rating: 0 out of 5 stars0 ratingsEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 Rating: 0 out of 5 stars0 ratingsLectures on Modular Forms. (AM-48), Volume 48 Rating: 0 out of 5 stars0 ratingsNavier-Stokes Equations Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 Rating: 0 out of 5 stars0 ratingsInverse Spectral Theory Rating: 0 out of 5 stars0 ratingsQuadratic Forms and Matrices: An Introductory Approach Rating: 0 out of 5 stars0 ratingsSixth Form Pure Mathematics: Volume 2 Rating: 0 out of 5 stars0 ratingsA Course of Mathematics for Engineers and Scientists Rating: 0 out of 5 stars0 ratingsNon-Linear Differential Equations: International Series of Monographs in Pure and Applied Mathematics Rating: 0 out of 5 stars0 ratingsHypoelliptic Laplacian and Orbital Integrals (AM-177) Rating: 0 out of 5 stars0 ratingsLectures on P-Adic L-Functions. (AM-74), Volume 74 Rating: 0 out of 5 stars0 ratingsGeneralized Analytic Functions Rating: 0 out of 5 stars0 ratingsDifferential-Difference Equations Rating: 0 out of 5 stars0 ratingsNotes on the Quantum Theory of Angular Momentum Rating: 0 out of 5 stars0 ratingsIntroduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 Rating: 0 out of 5 stars0 ratings
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for Calculus on Heisenberg Manifolds. (AM-119), Volume 119
0 ratings0 reviews