Author: José Ángel PeláezPublisher:
ISBN: 9781470414276
Category : MATHEMATICS
Languages : en
Pages : 124
Book Description
January 2014, volume 227, number 1066 (second of 4 numbers).
Weighted Bergman Spaces Induced by Rapidly Increasing Weights
Author: José Ángel PeláezPublisher:
ISBN: 9781470414276
Category : MATHEMATICS
Languages : en
Pages : 124
Book Description
January 2014, volume 227, number 1066 (second of 4 numbers).
Weighted Bergman Spaces Induced by Rapidly Increasing Weights
Author: Jose Angel PelaezPublisher: American Mathematical Soc.
ISBN: 0821888021
Category : Mathematics
Languages : en
Pages : 124
Book Description
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Author: David Dos Santos FerreiraPublisher: American Mathematical Soc.
ISBN: 0821891197
Category : Mathematics
Languages : en
Pages : 65
Book Description
The authors investigate the global continuity on spaces with of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in with . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted spaces, with and (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.
A Homology Theory for Smale Spaces
Author: Ian F. PutnamPublisher: American Mathematical Soc.
ISBN: 1470409097
Category : Mathematics
Languages : en
Pages : 122
Book Description
The author develops a homology theory for Smale spaces, which include the basics sets for an Axiom A diffeomorphism. It is based on two ingredients. The first is an improved version of Bowen's result that every such system is the image of a shift of finite type under a finite-to-one factor map. The second is Krieger's dimension group invariant for shifts of finite type. He proves a Lefschetz formula which relates the number of periodic points of the system for a given period to trace data from the action of the dynamics on the homology groups. The existence of such a theory was proposed by Bowen in the 1970s.
Blaschke Products and Their Applications
Author: Javad MashreghiPublisher: Springer Science & Business Media
ISBN: 1461453402
Category : Mathematics
Languages : en
Pages : 324
Book Description
Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
Special Values of Automorphic Cohomology Classes
Author: Mark GreenPublisher: American Mathematical Soc.
ISBN: 0821898574
Category : Mathematics
Languages : en
Pages : 145
Book Description
The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains which occur as open -orbits in the flag varieties for and , regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces give rise to Penrose transforms between the cohomologies of distinct such orbits with coefficients in homogeneous line bundles.
Transfer of Siegel Cusp Forms of Degree 2
Author: Ameya PitalePublisher: American Mathematical Soc.
ISBN: 0821898566
Category : Mathematics
Languages : en
Pages : 107
Book Description
Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and
Combinatorial Floer Homology
Author: Vin de SilvaPublisher: American Mathematical Soc.
ISBN: 0821898868
Category : Mathematics
Languages : en
Pages : 114
Book Description
The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a -manifold.
Polynomial Approximation on Polytopes
Author: Vilmos TotikPublisher: American Mathematical Soc.
ISBN: 1470416662
Category : Mathematics
Languages : en
Pages : 112
Book Description
Polynomial approximation on convex polytopes in is considered in uniform and -norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the -case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate -functional follows as a consequence. The results solve a problem that was left open since the mid 1980s when some of the present findings were established for special, so-called simple polytopes.
Index Theory for Locally Compact Noncommutative Geometries
Author: A. L. CareyPublisher: American Mathematical Soc.
ISBN: 0821898388
Category : Mathematics
Languages : en
Pages : 130
Book Description
Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra. This formula has been successfully used to calculate index pairings in numerous noncommutative examples. The absence of any other effective method of investigating index problems in geometries that are genuinely noncommutative, particularly in the nonunital situation, was a primary motivation for this study and the authors illustrate this point with two examples in the text. In order to understand what is new in their approach in the commutative setting the authors prove an analogue of the Gromov-Lawson relative index formula (for Dirac type operators) for even dimensional manifolds with bounded geometry, without invoking compact supports. For odd dimensional manifolds their index formula appears to be completely new.