Results 21 to 30 of about 7,783 (125)
Radon inversion formulas over local fields [PDF]
, 2015 Let $F$ be a local field and $n\ge 2$ an integer. We study the Radon transform as an operator $M : \mathcal C_+ \to \mathcal C_-$ from the space of smooth $K$-finite functions on $F^n \setminus \{0\}$ with bounded support to the space of smooth $K ...
Wang, Jonathan
core +1 more source
A note on arithmetic Diophantine series [PDF]
Czechoslovak Mathematical Journal, 2018 We consider an asymptotic analysis for series related to the work of Hardy and Littlewood (1923) on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH.
A. E. Patkowski
semanticscholar +1 more source
Precise asymptotic approximations for the kernels corresponding to the L\'evy processes [PDF]
, 2016 Using complex analysis techniques we obtain precise asymptotic approximations for the kernels corresponding to the symmetric $\alpha$-stable processes and their fractional derivatives.
Jo, Sihun, Yang, Minsuk
core +1 more source
On free stable distributions [PDF]
, 2014 We investigate the analytical properties of free stable distributions and discover many connections with the classical stable distributions. Our main results include an explicit formula for the Mellin transform, series representations for the ...
Hasebe, Takahiro, Kuznetsov, Alexey
core +3 more sources
New index transforms with the product of Bessel functions [PDF]
, 2015 New index transforms are investigated, which contain as the kernel products of the Bessel and modified Bessel functions. Mapping properties and invertibility in Lebesgue spaces are studied for these operators.
Yakubovich, Semyon
core +2 more sources
A Twisted Motohashi Formula and Weyl-Subconvexity for $L$-functions of Weight Two Cusp Forms [PDF]
, 2014 We derive a Motohashi-type formula for the cubic moment of central values of $L$-functions of level $q$ cusp forms twisted by quadratic characters of conductor $q$, previously studied by Conrey and Iwaniec and Young.
Petrow, Ian
core +4 more sources
Index transforms with Weber type kernels
, 2018 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.
Yakubovich, Semyon
core +1 more source
On refined volatility smile expansion in the Heston model [PDF]
, 2010 It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s_+$ can be obtained by solving (numerically) a simple equation.
Friz, P. +3 more
core +6 more sources
Mellin transform in bicomplex space and its application
, 2017 Motivated by the recent applications of bicomplex theory to the study of functions of large class, in this paper, we define bicomplex Mellin transform of bicomplex-valued functions.
R. Agarwal, M. Goswami, R. Agarwal
semanticscholar +1 more source
Apery limits and special values of L-functions [PDF]
, 2007 We describe a general method to determine the Apery limits of a differential equation that have a modular-function origin. As a by-product of our analysis, we discover a family of identities involving the special values of L-functions associated with ...
Beukers +7 more
core +3 more sources