The second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry, this work defines and studies generalizations of standard notions of linear algebra in an abstract monoidal model category, such as
The second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry, this work defines and stu...
Develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation theory such as asymptotically best constants, convergence of polynomials, approximation of individual functi
Develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation th...
The 'measurable Riemann Mapping Theorem' has found a central role in a diverse variety of areas such as holomorphic dynamics, Teichmuller theory, low dimensional topology and geometry, and the planar theory of PDEs. The authors recount aspects of this clas
The 'measurable Riemann Mapping Theorem' has found a central role in a diverse variety of areas such as holomorphic dynamics, Teichmuller theory, low ...
Studies Hardy spaces on $C^1$ and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is $C^1$, in case of a Lipschitz domain the result holds if dim $Mle 3$. The remaining cases for Lipschitz domai
Studies Hardy spaces on $C^1$ and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is $C^...
A study of the Hardy spaces of functions with values in the noncommutative $L^p$-spaces associated with a semifinite von Neumann algebra $mathcal.$. It defines noncommutative Hardy spaces by noncommutative Lusin integral function, and it is proved that
A study of the Hardy spaces of functions with values in the noncommutative $L^p$-spaces associated with a semifinite von Neumann algebra $mathcal.$...
It is well known that some compact $3$-manifolds with boundary admit homotopy equivalences that are not homotopic to homeomorphisms. This title investigates a natural question arising in the topological theory of $3$-manifolds, and applies the results to give new information about the deformation theory of hyperbolic $3$-manifolds.
It is well known that some compact $3$-manifolds with boundary admit homotopy equivalences that are not homotopic to homeomorphisms. This title invest...
Develops the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite.
Develops the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that fi...
Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.
Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-c...
