Results 21 to 30 of about 7,847 (103)
Difference Sturm--Liouville problems in the imaginary direction
, 2011 We consider difference operators in $L^2$ on $\R$ of the form $$ L f(s)=p(s)f(s+i)+q(s) f(s)+r(s) f(s-i) ,$$ where $i$ is the imaginary unit. The domain of definiteness are functions holomorphic in a strip with some conditions of decreasing at infinity ...
Neretin, Yury
core +1 more source
Lebedev's type index transforms with the modified Bessel functions [PDF]
, 2015 New index transforms of the Lebedev type are investigated. It involves the real part of the product of the modified Bessel functions as the kernel.
Yakubovich, Semyon
core +1 more source
Tube domains and restrictions of minimal representations
, 2007 In this paper we study the restrictions of the minimal representation in the analytic continuation of the scalar holomorphic discrete series from $Sp(n,\mathbb{R})$ to $GL(n,\mathbb{R})$, and from SU(n,n) to $GL(n,\mathbb{C})$ respectively.
Seppanen, Henrik
core +1 more source
Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve [PDF]
, 2013 Assuming the Generalized Riemann Hypothesis (GRH), we show using the asymptotic large sieve that 91% of the zeros of primitive Dirichlet $L$-functions are simple. This improves on earlier work of \"{O}zl\"{u}k which gives a proportion of at most 86%.
Chandee, Vorrapan +3 more
core +2 more sources
Hitting densities for spectrally positive stable processes
, 2010 A multiplicative identity in law connecting the hitting times of completely asymmetric $\alpha-$stable L\'evy processes in duality is established. In the spectrally positive case, this identity allows with an elementary argument to compute fractional ...
Simon, Thomas
core +2 more sources
Photon-added coherent states for shape invariant systems
, 2017 This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed.
Aremua, Isiaka +2 more
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Fractional Quadruple Laplace Transform and its Properties
, 2018 In this paper, we introduce definition for fraction al quadruple Laplace transform of order α,0 < fractional differentiable functions. Some main properties and inversion theorem of fractional quadruple Laplace transform are established.
S. Savitha, G. Monisha.
semanticscholar +1 more source
On the Mellin transforms of powers of Hardy's function
, 2010 Various properties of the Mellin transform function $$ {\cal M}_k(s) := \int_1^\infty Z^k(x)x^{-s}dx $$ are investigated, where $$ Z(t) := \zeta(1/2+it){\bigl(\chi(1/2+it)\bigr)}^{-1/2}, \quad \zeta(s) = \chi(s)\zeta(1-s) $$ is Hardy's function and ...
Ivić, Aleksandar
core
Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach. [PDF]
J Stat Phys, 2023 Kay T, Giuggioli L.
europepmc +1 more source
Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces. [PDF]
Commun Math Phys, 2022 Izyurov K, Khristoforov M.
europepmc +1 more source