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International Conference on Harmonic Analysis and Its Applications
International Conference Harmonic Analysis and Its Applications
2018/1/11
The International Conference on Harmonic Analysis and Its Applications (HAA) will take place from June 15 (arrival) to June 19 (departure) of 2018 at beautiful Yanqi Lake Campus of University of Chin...
The Sino-French International Associated Laboratory for Applied Mathematics (LIASFMA) is pleased to announce the School and Workshop on Harmonic Analysis and Wave Equations at Fudan University, Shangh...
Harmonic Maps and Teichmuller Theory
Teichmuller space harmonic maps Weil-Petersson metric mapping class group character variety Higgs bundle
2015/12/17
Teichmuller theory is rich in applications to topology and physics. By way of the mapping class group the subject is closely related to knot theory and threemanifolds. From the uniformization theorem,...
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations
Electromagnetic scattering Yee grid finite difference methods perfectly matched layers LDLT factorizations multifrontal method wave propagation in inhomogeneous and anisotropic media matrix preconditioners
2015/7/14
This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched...
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements
Maxwell’s equations Frequency domain Finite element methods Preconditioners Fast solvers Perfectly matched layers Block LDLt factorization High-frequency waves
2015/7/14
This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell’s equations in the high frequency regime. The moving PML sweeping preconditio...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
Twistor theory and the harmonic hull
Harmonic hull Twistor theory Bateman’s formula Penrose transform
2011/1/21
We use twistor theory to identify the harmonic hull of an arbitrary connected open subset U of R2m form 2. It is the natural domain of analytic continuation in C2m for harmonic functions on U.
Properties of harmonic meromorphic functions which are starlike of complex order with respect to conjugate points
harmonic meromorphic
2010/11/1
This paper defines and investigates a class of meromorphic univalent harmonic functions that are starlike of complex order with respect to conjugate points. The authors obtain convolution and convex c...
On certain subclass of harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator
Harmonic univalent functions Ruscheweyh derivative
2010/9/20
In this paper, the class SH(α, β; n, λ) of univalent harmonic and sense-preserving mappings in the unit disk is introduced. The distortion inequalities and extreme points for functions in the class SH...
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means
Euclidean norm arithmetic-geometric-harmonic mean
2010/9/25
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
Harmonic morphisms from conformally flat spaces
horizontally conformal map harmonic morphism
2010/9/14
In this note we give a method to construct non-trivial harmonic morphisms via conformal change of the metric of the domain generalizing a theorem previously only known in the case of start manifold to...
Harmonic analysis, quadratic forms and asymptotic expansions of risk measures
Quadratic form Gaussian model stationary phase
2010/9/10
In this paper we develop asymptotic expansions of Conditional Value at Risk (CVaR), one of the most widely used risk measures in the financial industry, based on harmonic analysis and the method of st...
A new computational harmonic projection algorithm for large unsymmetric generalized eigenproblems
Eigenvalue unsymmetric matrix harmonic Arnoldi
2010/9/13
The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a target point or shift σ to which the needed interior eigenvalues are close, the desired interior eigen...
An Application of Subordination on Harmonic Function
Harmonic Univalent Subordination Convex Starlike Close-to-convex
2008/7/3
An Application of Subordination on Harmonic Function.
Inequalities Involving Multipliers For Multivalent Harmonic Functions
Multivalent harmonic Multivalent harmonic starlike Multivalent harmonic convex Multiplier Integral convolution Neighborhood
2008/7/1
We introduce inequalities involving multipliers for complex-valued multivalent harmonic functions, using two sequences of positive real numbers. By specializing those sequences, we determine represent...