Results 21 to 30 of about 2,072 (306)
Polynomial Interpolation with Prescribed Analytic Functionals [PDF]
, 1993 We study the reconstruction of an analytic function of several complex variables by means of interpolating polynomials obtained from pieces of information given by functionals of derivatives of the function.
Calvi, J.P.
core +1 more source
Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials [PDF]
Компьютерные исследования и моделирование, 2012 The conditions for the existence of Feynman integrals in a sense of analytic continuation of the exponential functionals with a fourth-power polynomial in the index are studied, their presentations by Gaussian integrals are constructed in the paper.
Anna Konstantinovna Kravtseva
doaj +1 more source
Banach spaces of functions analytic in a polydisc
International Journal of Mathematics and Mathematical Sciences, 1986 This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed.
Leon M. Hall
doaj +1 more source
The analytic functional bootstrap. Part I: 1D CFTs and 2D S-matrices
Journal of High Energy Physics, 2019 We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension. We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in two regimes ...
Dalimil Mazáč, Miguel F. Paulos
doaj +1 more source
n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
Journal of High Energy Physics, 2021 We compute, to the lowest perturbative order in SU(N) Yang-Mills theory, n-point correlators in the coordinate and momentum representation of the gauge-invariant twist-2 operators with maximal spin along the p + direction, both in Minkowskian and — by ...
Marco Bochicchio +2 more
doaj +1 more source
Clustering by analytic functions
Information Sciences, 2012 Data clustering is a combinatorial optimization problem. This article shows that clustering is also an optimization problem for an analytic function. The mean squared error, or in this case, the squared error can expressed as an analytic function. With an analytic function we benefit from the existence of standard optimization methods: the gradient of ...
Malinen Mikko, Fränti Pasi
openaire +1 more source
Analytic functionals with unbounded carriers and mean periodic functions [PDF]
, 1983 We study certain ideals in some spaces of analytic functionals with unbounded carriers introduced by T. Kawaï, M. Morimoto and J. W. de Roever. Using Banach algebra methods, we show an example of space without spectral synthesis. Using Hörmander’s
Alex Meril
core +1 more source
On Borel summability and analytic functionals [PDF]
, 2020 . We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin.
Ricardo Estrada, Jasson Vindas
core
A Variational Theory of Convolution-Type Functionals [PDF]
, 2023 We provide a general treatment of a class of functionals modeled on convolution energies with kernel having finite p-moments. Such model energies approximate the p-th norm of the gradient as the kernel is scaled by letting a small parameter epsilon tend ...
Roberto Alicandro +9 more
core +1 more source
Continuous affine functionals on convex families of analytic functions [PDF]
, 1986 Characterizations are given for the continuous affine functionals on families of analytic functions that are defined by integrating a kernel with respect to probability measures on the unit circle.
Schober, G, MacGregor, T.H
core +1 more source