Results 11 to 20 of about 79,515 (172)

The Green-function transform and wave propagation [PDF]

, 2014
Fourier methods well known in signal processing are applied to three-dimensional wave propagation problems. The Fourier transform of the Green function, when written explicitly in terms of a real-valued spatial frequency, consists of homogeneous and ...
Kou, Shan Shan, Lin, Jiao, Sheppard, Colin J. R.   +2 more
core   +3 more sources

Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function

Discrete and Continuous Dynamical Systems. Series A, 2021
In this article, we have investigated certain definite integrals and various integral transforms of the generalized multi-index Bessel function, such as Euler transform, Laplace transform, Whittaker transform, K-transform and Fourier transforms.
D.L. Suthar, S. Purohit, Haile Habenom, Jagdev Singh   +3 more
semanticscholar   +1 more source

The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]

, 2009
This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
core   +1 more source

Metaplectic Ice [PDF]

, 2010
Spherical Whittaker functions on the metaplectic n-fold cover of GL(r+1) over a nonarchimedean local field containing n distinct n-th roots of unity may be expressed as the partition functions of statistical mechanical systems that are variants of the ...
A Berenstein, A M Hamel, A N Kirillov, B Brubaker, G Chinta, H. Matsumoto, P J McNamara, P Littelmann, T Shintani, W D Banks   +9 more
core   +6 more sources

A reduction principle for Fourier coefficients of automorphic forms [PDF]

, 2020
In this paper we analyze a general class of Fourier coefficients of automorphic forms on reductive adelic groups $\mathbf{G}(\mathbb{A}_\mathbb{K})$ and their covers.
Gourevitch, Dmitry, Gustafsson, Henrik P. A., Kleinschmidt, Axel, Persson, Daniel, Sahi, Siddhartha   +4 more
core   +2 more sources

Automorphic Instanton Partition Functions on Calabi-Yau Threefolds [PDF]

, 2011
We survey recent results on quantum corrections to the hypermultiplet moduli space M in type IIA/B string theory on a compact Calabi-Yau threefold X, or, equivalently, the vector multiplet moduli space in type IIB/A on X x S^1. Our main focus lies on the
Alexandrov S, Alexandrov S, Alexandrov S, Alexandrov S, Antoniadis I, Aspinwall P S, Bao L, Bao L, Bao L, Bao L, Bao L, Belov D, Bengtsson V, Bodner M, Bump D W, Cortes V, Dabholkar A, Daniel Persson, de Wit B, Denef F, Dijkgraaf R, Douglas M R, Eichler M, Ferrara S, Gaiotto D, Green M B, Green M B, Gunaydin M, Gunaydin M, Günaydin M, Günaydin M, Günaydin M, Henningson M, Ishikawa Y h, Joyce D, Kapustin A, Kazhdan D, Kazhdan D, Kiritsis E, Kontsevich M, Kontsevich M, Langlands R P, LeBrun C, Maldacena J M, Manschot J, Minasian R, Monnier S, Moore G W, Neitzke A, Nekrasov N, Persson D, Pioline B, Pioline B, Pioline B, Pioline B, Pioline B, Pioline B, Seiberg N, Vinogradov A I, Wallach N R, Yui N   +60 more
core   +1 more source

Exact Asymptotic Results for Persistence in the Sinai Model with Arbitrary Drift [PDF]

, 2002
We obtain exact asymptotic results for the disorder averaged persistence of a Brownian particle moving in a biased Sinai landscape. We employ a new method that maps the problem of computing the persistence to the problem of finding the energy spectrum of
A. Comtet, A. Comtet, A. Comtet, Alain Comtet, C. Monthus, C.M. Newman, D.K. Lubensky, D.K. Lubensky, D.S. Dean, D.S. Fisher, D.S. Fisher, F. Igloi, F. Igloi, H. Tanaka, J-P. Bouchaud, J-P. Bouchaud, K. Kawazu, L. Alili, R. Graham, S. Jain, S.N. Majumdar, S.N. Majumdar, Satya N. Majumdar, Y. Hu, Y.G. Sinai   +24 more
core   +1 more source

Hilbert transform: Applications to atomic spectra [PDF]

, 2014
In many areas of physics, the Kramers-Kronig relations are used to extract information about the real part of the optical response of a medium from its imaginary counterpart.
K. A. Whittaker, J. Keaveney, I. Hughes, C. Adams   +3 more
semanticscholar   +1 more source

Twisted zastava and $q$-Whittaker functions [PDF]

, 2017
In this note, we extend the results of arxiv:1111.2266 and arxiv:1203.1583 to the non simply laced case. To this end we introduce and study the twisted zastava spaces.Comment: 18 pages.
Braverman, Alexander, Finkelberg, Michael   +1 more
core   +2 more sources

Wavelet transforms associated with the Index Whittaker transform

, 2019
In this paper, we exploit the theory of convolution of index Whittaker transform for study of continuous and discrete Index Whittaker wavelet transform and discuss some of its basic properties. Certain boundedness, Plancherel as well as reconstruction formula for the continuous Index Whittaker Wavelet Transform (CIWWT) are obtain and Finally we discuss
Pathak, Ashish, Abhishek
openaire   +2 more sources