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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Semiclassical oscillating functions of isotropic type and their applications
各向同型 半经典 振荡函数
2023/5/8
Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Paley-Wiener type theorems and their applications
Paley-Wiener型定理 Clifford代数环境 函数空间
2023/5/15
In this talk I will briefly introduce some Paley-Wiener type theorems in the Clifford algebra setting. The PW type theorems are related to a decomposition of some function spaces. Using the PW type th...
Simple proof of the functional relation for the Lerch type Tornheim double zeta function
Functional relation Lerch type Tornheim double zeta function
2011/1/18
In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation formulas for double ...
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
Nevanlinna functions negative square
2010/11/15
A generalized Nevanlinna function $Q(z)$ with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation d...
Congruences for Andrews' spt-function modulo 32760 and extension of Atkin's Hecke-type partition congruences
Andrews' spt-function Atkin's Hecke-type partition congruences
2010/11/15
New congruences are found for Andrews' smallest parts partition function spt(n). The generating function for spt(n) is related to the holomorphic part alpha(24z) of a certain weak Maass form M(z) of ...
Rainwater-Simons-type convergence theorems for generalized convergence methods
Rainwater-Simons-type convergence theorems generalized convergence methods
2010/11/17
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence. In fact we ...
Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions
Hadamard’s inequality co-ordinated convex Godunova-Levin functions
2011/3/1
In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P−convex functions, therefore we proved a new inequality inv...
Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds
Schur's theorem antiholomorphic type quasi-Kä hlerian manifolds
2010/12/6
Let M be an almost Hermitian manifold with dimM = 2n, a metric tensor g and an almost complex structure J. The Ricci tensor and the scalar curvature with regard to the curvature tensor R are denoted b...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
Hamilton type estimates for heat equations on manifolds
drifting Laplacian nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimates of Hamilton type for positive solutions to both drifting heat equation and the simple nonlinear heat equation problem ut − u = au log u, u > 0 on ...
Bernstein type inequality in monotone rational approximation
Bernstein type inequality monotone rational approximation
2010/12/10
The following analog of Bernstein inequality for monotone rational functions is established: if R is an increasing on [−1, 1] rational function of degree n, then R′(x) < 9n 1 − x2 kRk, x ∈...
Dvoretzky type theorems for multivariate polynomials and sections of convex bodies
Ramsey type theorems Dvoretsky’s theorem John’s ellipsoid.
2010/11/29
In this paper we prove the Gromov–Milman conjecture (the Dvoretzky typ theorem) for homogeneous polynomials on Rn, and improve bounds on the number n(d, k)in the analogous conjecture for odd degrees d...
On Hadamard-Type Inequalities for Co--ordinated r-Convex Functions
r− Convex Hadamard-Type Inequalities Co–ordinates
2010/12/9
In this paper we defined r−convexity on the coordinates and we established some Hadamard-Type Inequalities.
Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
Additive function Quadratic function Cubic function Quartic function Generalized Hyers-Ulam-Rassias stability Ulam-Gavruta-Rassias stability J.M. Rassias stability
2010/4/16
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation for fixed integers with ![]()