Results 11 to 20 of about 476,746 (208)
Monogenic functions and harmonic vectors
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We consider special topological vector spaces with a commutative multiplication for some of elements of the spaces and monogenic functions taking values in these spaces.
Sergiy Plaksa
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Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]
, 2017 We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik +1 more
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Harmonic functions and gravity localization
Journal of High Energy Physics, 2023 In models with extra dimensions, matter particles can be easily localized to a ‘brane world’, but gravitational attraction tends to spread out in the extra dimensions unless they are small. Strong warping gradients can help localize gravity closer to the
G. Bruno De Luca +3 more
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Harmonic functions associated with Pascal distribution series
Scientific African, 2023 The primary objective of this paper is to explore the application of a specific convolution operator, which incorporates the Pascal distribution series. Through this investigation, we establish essential inclusion relations between the harmonic class HΥ ...
B.A. Frasin +3 more
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Vector-valued holomorphic and harmonic functions
Concrete Operators, 2016 Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
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On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]
, 2018 Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
Damelin, S. B., Hoang, N. S.
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Harmonic Functions On Manifolds Whose Large Sphere Are Small [PDF]
, 2015 We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic
Carron, Gilles
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Fixed-energy harmonic functions
Discrete Analysis, 2017 Fixed-energy harmonic functions, Discrete Analysis 2017:18, 21 pp. The classical Dirichlet problem asks for a harmonic function in the interior of a region that takes specified values on the boundary.
Aaron Abrams, Richard Kenyon
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The Approximation of Harmonic Functions by Harmonic Polynomials and by Harmonic Rational Functions [PDF]
Bulletin of the American Mathematical Society, 1929 which converges uniformly f or all values of 6. This is of course a general fact, tha t if a given function can be uniformly approximated as closely as desired by a linear combination of other functions, then that function can be expanded in a uniformly convergent series of which each term is a linear combination of those other functions, and ...
openaire +4 more sources
New Discrete Basis for Nuclear Structure Studies [PDF]
, 1998 A complete discrete set of spherical single-particle wave functions for studies of weakly-bound many-body systems is proposed. The new basis is obtained by means of a local-scale point transformation of the spherical harmonic oscillator wave functions ...
A. K. Kerman +48 more
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