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On absolute convergence of multiple Fourier integrals
Fourier integral Fourier multiplier Hardy-Steklov
2011/2/25
New sufficient conditions for representation of a func-tion of several variables as an absolutely convergent Fourier integral are obtained in the paper.
Feynman integrals and motives of configuration spaces
Feynman integrals motives of configuration spaces
2011/2/28
We formulate the problem of renormalization of Feynman integrals and its relation to periods of motives in configuration space instead of momentum space.
The iterated integrals of ln(1 + x^2)
Iterated integrals harmonic numbers recurrences valuations
2011/2/21
For a polynomial P, we consider the sequence of iterated integrals of ln P(x). This sequence is expressed in terms of the zeros of P(x). In the special case of ln(1 + x2), arithmetic properties of cer...
On Explicit Holmes-Thompson Area Formula in Integral Geometry
Minkowski space Holmes-Thompson Volume symplectic structure
2010/12/13
In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...
Quadratic harnesses from generalized beta integrals
Quadratic conditional moments generalized beta integrals harnesses
2010/12/13
We use generalized beta integrals to construct examples of Markov processes with linear regressions, and quadratic second conditional moments.
Local Zeta Functions and Oscillatory Integrals for Non-degenerate Laurent Polynomials Over p-adic Fields
exponential sums mod p p-adic oscillatory integrals Laurent polynomials
2010/12/8
In this article, we study exponential sums mod p m, or more generally,p-adic oscillatory integrals attached to Laurent polynomials which are non-degenerate with respect to its Newton polytope at infin...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities
Infinite convolutions characteristic function entire functions
2010/12/1
We prove that certain quotients of entire functions are characteristic functions. Under some conditions,the probability measure corresponding to a characteristic function of that type has a density wh...
Composition Functionals in Fractional Calculus of Variations
Fractional calculus of variations Composition of functionals Fractional Euler–Lagrange equations
2010/12/6
We prove Euler–Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses th...
Compact integral manifolds of differential systems
ordinary differential system total differential system linear system of partial differential equations
2010/12/7
The boundedness tests for the number of compact integral manifolds of autonomous ordi-nary differential systems, of autonomous total differential systems, of linear systems of partial
differential eq...
Convolutions of singular measures and applications to the Zakharov system
Convolution estimates transversal submanifolds L2 bounds
2010/12/8
Uniform L2-estimates for the convolution of singular measures with respect to transversal submanifolds are proved in arbitrary space dimen-sion. The results of Bennett-Bez are used to extend previous ...
EXTEND MEAN CURVATURE FLOW WITH FINITE INTEGRAL CURVATURE
EXTEND MEAN CURVATURE FINITE INTEGRAL CURVATURE
2018/4/19
In this note, we first prove that the solution of mean curvature flow on a finite time interval [0, T ) can be extended over time T if the space-time integration of the norm of the second fundamental ...
DESCENDENT INTEGRALS AND TAUTOLOGICAL RINGS OF MODULI SPACES OF CURVES
DESCENDENT INTEGRALS TAUTOLOGICAL RINGS MODULI SPACES CURVES
2018/4/19
The main objective of this paper is to give a summary of our recent work on recursion formulae for intersection numbers on moduli spaces of curves and their applications.We also present a conjectural ...
The Random Integral Representation Conjecture: a quarter of a century later
Class L distributions or selfdecomposable distributions infinite divisibility Lévy-Khintchine formula
2010/12/6
In Jurek 1985 and 1988 the random integral representations conjecture was stated. It claims that (some) limit laws can be written as probability distributions of random integrals of
the form R (a,b] ...
Virasoro and W-constraints for the $q$-KP hierarchy
W-constraints $q$-KP hierarchy Adler-Shiota-van Moerbeke
2010/4/6
Based on the Adler-Shiota-van Moerbeke (ASvM) formula, the Virasoro constraints and W-constraints for the p-reduced q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy are established.