38 citations · 38 across the 14 of their papers we have counts for
14 papers
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators
Yasunori Okada, Hideshi Yamane
A compactly supported distribution is called invertible in the sense of Ehrenpreis-Hörmander if the convolution with it induces a surjection from $\mathcal{C}^{\infty}(\mathbb{R}^{…
Generalized spherical mean value operators on Euclidean space
Yasunori Okada, Hideshi Yamane
We consider the Neumann version of the spherical mean value operator and its variants in the space of smooth functions, distributions and compactly supported ones. Surjectivity and…
Local and global analyticity for a generalized Camassa-Holm system
Hideshi Yamane
We solve the analytic Cauchy problem for the generalized two-component Camassa-Holm system introduced by R. M. Chen and Y. Liu. We show the existence of a unique local/global-in-ti…
Local and global analyticity for -Camassa-Holm equations
Hideshi Yamane
We solve Cauchy problems for some -Camassa-Holm integro-partial differential equations in the analytic category. The equations to be considered are CH of Khesin-Lenells-Misio…
Some trigonometric integrals and the Fourier transform of a spherically symmetric exponential function
Hideshi Yamane
We calculate the Fourier transform of a spherically symmetric exponential function. Our evaluation is much simpler than the known one. We use the polar coordinates and reduce the F…
Supplement to Neuschel's paper "Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type "
Shotaro Nakai, Hideshi Yamane
In an article that appeared in Journal of Approximation Theory, Neuschel investigated the asymptotic expansion of certain hypergeometric polynomials of type inside and o…
Cross-Domain Collaborative Learning via Cluster Canonical Correlation Analysis and Random Walker for Hyperspectral Image Classification
Yao Qin, Lorenzo Bruzzone, Biao Li +1
This paper introduces a novel heterogenous domain adaptation (HDA) method for hyperspectral image classification with a limited amount of labeled samples in both domains. The metho…
Riemann-Hilbert factorization of matrices invariant under inversion in a circle
Hideshi Yamane
We consider matrix functions with certain invariance under inversion in the unit circle. If such a function satisfies a positivity assumption on the unit circle, then only zero par…
Long-Time Asymptotics for the integrable discrete nonlinear Schrödinger equation: The Focusing Case
Hideshi Yamane
We investigate the long-time asymptotics for the focusing integrable discrete nonlinear Schrödinger equation. Under generic assumptions on the initial value, the solution is asympt…
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
Hideshi Yamane
We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If , we have decaying oscillation of order as…
Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation
Hideshi Yamane
We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation by means of the Deift-Zhou nonlinear steepest descent method. The lea…
WTC solutions to a generalized nonlinear Schrödinger equation
Hideshi Yamane
A generalized nonlinear Schrödinger equation admits WTC formal solutions as was shown by Clarkson. We show that they are convergent and determine real-analytic solutions near a non…
Logarithmic singularities of solutions to nonlinear partial differential equations
Hidetoshi Tahara, Hideshi Yamane
We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T. Kobayashi. The leading term of…
Nonlinear wave equations and singular solutions
Hideshi Yamane
We construct solutions to nonlinear wave equations that are singular along a prescribed noncharacteristic hypersurface which is the graph of a function satisfying not the Eikonal b…