Results 91 to 100 of about 10,794 (206)

Modelling the Fundamental Niche to Predict the Effects of Climate Warming on Interactions Between Native and Invasive Mussels in South Africa

Diversity and Distributions, Volume 31, Issue 12, December 2025.
ABSTRACT Aim Climate change is reshuffling the distribution of species globally and threatening to modify the structure and functioning of natural and managed ecosystems. Most studies predicting species distributions rely on statistical approaches that do not capture the species' fundamental niche.
Cristián J. Monaco, Christopher D. McQuaid   +1 more
wiley   +1 more source

Character sum, reciprocity, and Voronoi formula

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

Celestial leaf amplitudes

Journal of High Energy Physics
Celestial amplitudes may be decomposed as weighted integrals of AdS3-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is smooth except for the
Walker Melton, Atul Sharma, Andrew Strominger   +2 more
doaj   +1 more source

Light transformation: a celestial and Carrollian perspective

Journal of High Energy Physics
In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order ...
Sourish Banerjee, Rudranil Basu, Sayali Atul Bhatkar   +2 more
doaj   +1 more source

Motivic Mellin transforms

This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Cluckers, Raf, Loeser, François, Nguyen, Kien Huu, Vermeulen, Floris   +3 more
openaire   +2 more sources

Functional Mellin Transforms

, 2013
Functional integrals are defined in terms of locally compact topological groups and their associated Banach-valued Haar integrals. This approach generalizes the functional integral scheme of Cartier and DeWitt-Morette. The definition allows a construction of functional Mellin transforms.
openaire   +2 more sources

INTEGRAL TRANSFORMATION IN A PARTIALLY BOUNDED REGION WITH A RADIAL THERMAL FLOW

Тонкие химические технологии, 2018
A mathematical theory is developed for constructing integral transformations in a partially bounded region with a radial heat flow - a massive body bounded from the inside by a cylindrical cavity. Constructed: an integral transformation, the image of the
E. M. Kartashov
doaj   +1 more source

Convolutional double copy in (anti) de Sitter space

Journal of High Energy Physics
The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions.
Qiuyue Liang, Silvia Nagy
doaj   +1 more source

Exact solution to a class of problems for the Burgers’ equation on bounded intervals

Partial Differential Equations in Applied Mathematics
In this study, we consider Burgers’ equation with fixed Dirichlet boundary conditions on generic bounded intervals. By employing the Hopf–Cole transformation and a recently established exact operational solution for linear reaction–diffusion equations ...
Kwassi Anani, Mensah Folly-Gbetoula
doaj   +1 more source

On the Whittaker Function Extended by the Fox–Wright Function and Its Properties

Mathematics
This paper aims to obtain the Ψηξ-extended Whittaker function and its integral representations. This function is defined by using the Ψηξ-confluent hypergeometric function, which was recently extended in terms of the Fox–Wright function.
Ulfat Ansari, Musharraf Ali, Dojin Kim
doaj   +1 more source