Results 31 to 40 of about 7,783 (125)
Distributional properties of exponential functionals of Levy processes [PDF]
, 2012 We study the distribution of the exponential functional $I(\xi,\eta)=\int_0^{\infty} \exp(\xi_{t-}) \d \eta_t$, where $\xi$ and $\eta$ are independent L\'evy processes.
Kuznetsov, A., Pardo, J. C., Savov, M.
core +3 more sources
On Modified Mellin Transform of Generalized Functions
, 2013 We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform.
S. Al-Omari, Adem Kılıçman
semanticscholar +1 more source
Space‐Time Smoothness and Parsimony in Covariance Functions
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi +2 more
wiley +1 more source
Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley +1 more source
Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley +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
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively.
Muneera Abdullah Qadha +2 more
wiley +1 more source
Tubings, chord diagrams, and Dyson–Schwinger equations
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf +5 more
wiley +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
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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
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