Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.

Group theory --- Complex analysis --- Number theory --- RIEMANN SURFACES --- Discontinuous groups --- congresses --- Congresses --- Riemann surfaces --- Congresses. --- Groupes discontinus --- Combinatorial topology --- Functions of complex variables --- Surfaces, Riemann --- Functions --- Abelian variety. --- Adjunction (field theory). --- Affine space. --- Algebraic curve. --- Algebraic structure. --- Analytic function. --- Arithmetic genus. --- Automorphism. --- Bernhard Riemann. --- Boundary (topology). --- Cauchy sequence. --- Cauchy–Schwarz inequality. --- Cayley–Hamilton theorem. --- Closed geodesic. --- Combination. --- Commutative diagram. --- Commutator subgroup. --- Compact Riemann surface. --- Complex dimension. --- Complex manifold. --- Complex multiplication. --- Complex space. --- Complex torus. --- Congruence subgroup. --- Conjugacy class. --- Convex set. --- Cyclic group. --- Degeneracy (mathematics). --- Diagram (category theory). --- Diffeomorphism. --- Differential form. --- Dimension (vector space). --- Disjoint sets. --- E7 (mathematics). --- Endomorphism. --- Equation. --- Equivalence class. --- Euclidean space. --- Existence theorem. --- Existential quantification. --- Finite group. --- Finitely generated group. --- Fuchsian group. --- Fundamental domain. --- Fundamental lemma (Langlands program). --- Fundamental polygon. --- Galois extension. --- Holomorphic function. --- Homeomorphism. --- Homology (mathematics). --- Homomorphism. --- Hurwitz's theorem (number theory). --- Inclusion map. --- Inequality (mathematics). --- Inner automorphism. --- Intersection (set theory). --- Irreducibility (mathematics). --- Isomorphism class. --- Isomorphism theorem. --- Jacobian variety. --- Jordan curve theorem. --- Kleinian group. --- Limit point. --- Mapping class group. --- Metric space. --- Monodromy. --- Monomorphism. --- Möbius transformation. --- Non-Euclidean geometry. --- Orthogonal trajectory. --- Permutation. --- Polynomial. --- Power series. --- Projective variety. --- Quadratic differential. --- Quadric. --- Quasi-projective variety. --- Quasiconformal mapping. --- Quotient space (topology). --- Rectangle. --- Riemann mapping theorem. --- Riemann surface. --- Schwarzian derivative. --- Simply connected space. --- Simultaneous equations. --- Special case. --- Subgroup. --- Subsequence. --- Surjective function. --- Symmetric space. --- Tangent space. --- Teichmüller space. --- Theorem. --- Topological space. --- Topology. --- Uniqueness theorem. --- Unit disk. --- Variable (mathematics). --- Winding number. --- Word problem (mathematics). --- RIEMANN SURFACES - congresses --- Discontinuous groups - Congresses --- Geometrie algebrique --- Fonctions d'une variable complexe --- Surfaces de riemann

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Geometric measure theory. --- Surfaces. --- Curvature. --- Measure theory --- Calculus --- Curves --- Surfaces --- Curved surfaces --- Geometry --- Shapes --- Affine transformation. --- Approximation. --- Asymptote. --- Barrier function. --- Besicovitch covering theorem. --- Big O notation. --- Bounded set (topological vector space). --- Boundedness. --- Calculation. --- Cauchy–Schwarz inequality. --- Characteristic function (probability theory). --- Compactness theorem. --- Completing the square. --- Concave function. --- Convex set. --- Convolution. --- Crystal structure. --- Curve. --- Derivative. --- Diameter. --- Differentiable function. --- Differentiable manifold. --- Differential geometry. --- Dimension. --- Domain of a function. --- Dyadic rational. --- Equivalence relation. --- Estimation. --- Euclidean space. --- Existential quantification. --- Exterior (topology). --- First variation. --- Gaussian curvature. --- Geometry. --- Grain boundary. --- Graph of a function. --- Grassmannian. --- Harmonic function. --- Hausdorff measure. --- Heat equation. --- Heat kernel. --- Heat transfer. --- Homotopy. --- Hypersurface. --- Hölder's inequality. --- Infimum and supremum. --- Initial condition. --- Lebesgue measure. --- Lebesgue point. --- Linear space (geometry). --- Lipschitz continuity. --- Mean curvature. --- Melting point. --- Microstructure. --- Monotonic function. --- Natural number. --- Nonparametric statistics. --- Order of integration (calculus). --- Order of integration. --- Order of magnitude. --- Parabolic partial differential equation. --- Paraboloid. --- Partial differential equation. --- Permutation. --- Perpendicular. --- Pointwise. --- Probability. --- Quantity. --- Quotient space (topology). --- Radon measure. --- Regularity theorem. --- Retract. --- Rewriting. --- Riemannian manifold. --- Right angle. --- Second derivative. --- Sectional curvature. --- Semi-continuity. --- Smoothness. --- Subsequence. --- Subset. --- Support (mathematics). --- Tangent space. --- Taylor's theorem. --- Theorem. --- Theory. --- Topology. --- Total curvature. --- Translational symmetry. --- Uniform boundedness. --- Unit circle. --- Unit vector. --- Upper and lower bounds. --- Variable (mathematics). --- Varifold. --- Vector field. --- Weight function. --- Without loss of generality.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.Originally published in 1990.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Pseudodifferential operators. --- Functions of several complex variables. --- Solvable groups. --- Analytic function. --- Analytic set. --- Associative property. --- Asymptotic expansion. --- Atkinson's theorem. --- Banach space. --- Bilinear map. --- Boundary value problem. --- Bounded function. --- Bounded operator. --- Bump function. --- C space. --- CR manifold. --- Cauchy problem. --- Cauchy's integral formula. --- Cauchy–Schwarz inequality. --- Cayley transform. --- Characteristic function (probability theory). --- Characterization (mathematics). --- Coefficient. --- Cokernel. --- Combinatorics. --- Complex conjugate. --- Complex number. --- Complexification (Lie group). --- Contact geometry. --- Convolution. --- Darboux's theorem (analysis). --- Darboux's theorem. --- Diagram (category theory). --- Diffeomorphism. --- Difference "ient. --- Differential operator. --- Dimension (vector space). --- Dirac delta function. --- Eigenvalues and eigenvectors. --- Elliptic operator. --- Equation. --- Existential quantification. --- Explicit formulae (L-function). --- Factorial. --- Fourier inversion theorem. --- Fourier series. --- Fourier transform. --- Fundamental solution. --- Heisenberg group. --- Hermitian adjoint. --- Hilbert space. --- Hodge theory. --- Hypoelliptic operator. --- Hölder's inequality. --- Implicit function theorem. --- Integral transform. --- Invertible matrix. --- Leibniz integral rule. --- Lie algebra. --- Mathematical induction. --- Mathematical proof. --- Mean value theorem. --- Multinomial theorem. --- Neighbourhood (mathematics). --- Neumann series. --- Nilpotent group. --- Orthogonal transformation. --- Orthonormal basis. --- Oscillatory integral. --- Paley–Wiener theorem. --- Parametrix. --- Parity (mathematics). --- Partial differential equation. --- Partition of unity. --- Plancherel theorem. --- Polynomial. --- Power function. --- Power series. --- Product rule. --- Property B. --- Pseudo-differential operator. --- Pullback (category theory). --- Quadratic form. --- Regularity theorem. --- Riesz transform. --- Schwartz space. --- Scientific notation. --- Self-adjoint operator. --- Self-adjoint. --- Sesquilinear form. --- Several complex variables. --- Singular integral. --- Special case. --- Summation. --- Support (mathematics). --- Symmetrization. --- Theorem. --- Topology. --- Triangle inequality. --- Unbounded operator. --- Union (set theory). --- Unitary transformation. --- Variable (mathematics).