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Asymptotics at irregular singular points
"... 1. Example: rotationally symmetric eigenfunctions on Rn 2. Example: translationequivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded ..."
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1. Example: rotationally symmetric eigenfunctions on Rn 2. Example: translationequivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded
Solving in the Neighbourhood of an Irregular Singular Point
"... This study expresses the solution of the Bessel equation in the neighbourhood of = ∞ as the product of a knownform singular divisor and a specific nonsingular function, which satisfies the corresponding derived equation. Considering the failure of the traditional irregular solution constructed wit ..."
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This study expresses the solution of the Bessel equation in the neighbourhood of = ∞ as the product of a knownform singular divisor and a specific nonsingular function, which satisfies the corresponding derived equation. Considering the failure of the traditional irregular solution constructed
(August 13, 2011) Asymptotics at irregular singular points
"... 2. Example: translationequivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded ..."
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2. Example: translationequivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded
Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points
"... Abstract. Geometric study of a secondorder Fuchsian differential equation u ′ ′ − q(x)u = 0, where q is rational in x, has been made via the Schwarz map as well as via the hyperbolic and the derived Schwarz maps ([SYY]). When the equation admits an irregular singularity, such a study was first mad ..."
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Cited by 1 (1 self)
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Abstract. Geometric study of a secondorder Fuchsian differential equation u ′ ′ − q(x)u = 0, where q is rational in x, has been made via the Schwarz map as well as via the hyperbolic and the derived Schwarz maps ([SYY]). When the equation admits an irregular singularity, such a study was first
Perturbation of Linear Ordinary Differential Equations at Irregular Singular Points By Yasutaka SIBUYA*
"... A blockdiagonalization theorem for the equation $e^{¥sigma}dy/dx=x^{¥tau}A(x, ¥mu, ¥epsilon)y $ according to the Jordan canonical form of $A(¥infty, 0,0) $ is proved. Whereas $A(x, ¥mu, ¥mathrm{e}) $ is holomorphic in $¥mu $ , a transformation matrix, which is holomorphic in $¥mu $ as well as admit ..."
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A blockdiagonalization theorem for the equation $e^{¥sigma}dy/dx=x^{¥tau}A(x, ¥mu, ¥epsilon)y $ according to the Jordan canonical form of $A(¥infty, 0,0) $ is proved. Whereas $A(x, ¥mu, ¥mathrm{e}) $ is holomorphic in $¥mu $ , a transformation matrix, which is holomorphic in $¥mu $ as well as admits asymptotic $¥mathrm{e}¥mathrm{x}$ pansions in both $x^{1} $ and $¥epsilon $ , is constructed. I.
Secondorder linear differential equations with two irregular singular points of rank three: the characteristic exponent
, 2000
"... For a secondorder linear differential equation with two irregular singular points of rank three, multiple Laplacetype contour integral solutions are considered. An explicit formula in terms of the Stokes multipliers is derived for the characteristic exponent of the multiplicative solutions. The St ..."
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For a secondorder linear differential equation with two irregular singular points of rank three, multiple Laplacetype contour integral solutions are considered. An explicit formula in terms of the Stokes multipliers is derived for the characteristic exponent of the multiplicative solutions
On the Remainders of Asymptotic Expansions of Solutions of Linear Differential Equations Near Irregular Singular Points of Higher Rank
, 1996
"... We study linear ordinary differential equations near singular points of higher Poincar'e rank r under the condition that the leading matrix has distinct eigenvalues. It is well known that there are fundamental systems of formal vector solutions and that in certain sectors, there are actual solu ..."
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Cited by 1 (0 self)
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We study linear ordinary differential equations near singular points of higher Poincar'e rank r under the condition that the leading matrix has distinct eigenvalues. It is well known that there are fundamental systems of formal vector solutions and that in certain sectors, there are actual
ON THE RIEMANN FUNCTION AND IRREGULAR SINGULAR POINTS FOR AXISYMMETRIC BLACK HOLE COLLISIONS AT THE SPEED OF LIGHT
, 2002
"... Abstract. The news function providing some relevant information about angular distribution of gravitational radiation in axisymmetric black hole collisions at the speed of light had been evaluated in the literature by perturbation methods, after inverting secondorder hyperbolic operators with varia ..."
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order equation obeyed by the Riemann function, which might prove useful for numerical purposes. Eventually, we find under which conditions the original Greenfunction calculation reduces to finding solutions of an inhomogeneous secondorder ordinary differential equation with a nonregular singular point. 1
Singularity Detection And Processing With Wavelets
 IEEE Transactions on Information Theory
, 1992
"... Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales of their wavele ..."
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Cited by 595 (13 self)
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Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales
Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow
, 1999
"... In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating highfidelit ..."
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Cited by 542 (23 self)
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In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating high
Results 1  10
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