Index transforms with Weber-type kernels
نویسندگان
چکیده
منابع مشابه
Index transforms with Weber type kernels
New index transforms with Weber type kernels, consisting of products of Bessel functions of the first and second kind are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth order partial differential equation.
متن کاملMultilevel Evaluation of Multidimensional Integral Transforms with Asymptotically Smooth Kernels
In many practical applications of numerical methods a substantial increase in efficiency can be obtained by using local grid refinement, since the solution is generally smooth in large parts of the domain and large gradients occur only locally. Fast evaluation of integral transforms on such an adaptive grid requires an algorithm that relies on the smoothness of the continuum kernel only, indepe...
متن کاملIntegral Transforms with Exponential Kernels and Laplace Transform
Let X ←−fZ −→gY be a correspondence of complex manifolds. We study integral transforms associated to kernels exp(φ), with φ meromor-phic on Z, acting on formal or moderate cohomologies. Our main applicationis the Laplace transform. In this case, X is the projective compactification ofthe vector space V ' Cn, Y is its dual space, Z = X×Y and φ(z, w) = 〈z,w〉.We obt...
متن کاملWeber-Schafheitlin type integrals with exponent 1
Explicit formulae for Weber-Schafheitlin type integrals with exponent 1 are derived. The results of these integrals are distributions on R+. Received 07 April 2008; Revised 30 June 2008
متن کاملNonparametric Transforms of Graph Kernels for Semi-Supervised Learning
We present an algorithm based on convex optimization for constructing kernels for semi-supervised learning. The kernel matrices are derived from the spectral decomposition of graph Laplacians, and combine labeled and unlabeled data in a systematic fashion. Unlike previous work using diffusion kernels and Gaussian random field kernels, a nonparametric kernel approach is presented that incorporat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2018
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2017.1419222