Search
Search Results
-
Geometric variations of local systems and elliptic surfaces
Geometric variations of local systems are families of variations of Hodge structure; they typically correspond to fibrations of Kähler manifolds for...
-
Geometric and Functional Inequalities for Log-Concave Probability Sequences
We investigate geometric and functional inequalities for the class of log-concave probability sequences. We prove dilation inequalities for...
-
Convolution series and the generalized convolution Taylor formula
In this paper, we discuss the convolution polynomials and series that are a far reaching generalization of the conventional polynomials and power...
-
p-Capacity with Bessel Convolution
We define and examine nonlinear potential by Bessel convolution with Bessel kernel. We investigate removable sets with respect to Laplace-Bessel...
-
Recurrences and Congruences for Higher-Order Geometric Polynomials and Related Numbers
We obtain new recurrence relations, an explicit formula, and convolution identities for higher-order geometric polynomials. These relations...
-
Definable convolution and idempotent Keisler measures
We initiate a systematic study of the convolution operation on Keisler measures, generalizing the work of Newelski in the case of types. Adapting...
-
A GEOMETRIC STEINBERG FORMULA
We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric...
-
Geometric properties of the meromorphic functions class through special functions associated with a linear operator
According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to...
-
On the continuity of maximal operators of convolution type at the derivative level
In this paper we study a question related to the continuity of maximal operators of convolution type acting on W 1,1 (ℝ). We prove that the map u ↦ ( u* )...
-
Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras
We develop an elementary method to compute spaces of equivariant maps from a homogeneous space G / H of a Lie group G to a module of this group. The...
-
Some Properties of the Fractal Convolution of Functions
We consider the fractal convolution of two maps f and g defined on a real interval as a way of generating a new function by means of a suitable...
-
Basic Ideas of Geometric Sampling
Most of the material in Chapter 1 is concerned with integral-geometric formulae for motion-invariant...
-
Harmonic flow of geometric structures
We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original...
-
New Trends in Geometric Function Theory
This chapter is a comprehensive survey about the study and recent developments in the area of geometric function theory. The definitions of certain...
-
Geometric Invariance of the Semi-classical Calculus on Nilpotent Graded Lie Groups
In this paper, we consider the semi-classical setting constructed on nilpotent graded Lie groups by means of representation theory. Our aim is to...
-
Geometric and Functional Inequalities
In this chapter, some of the fundamental inequalities for the basic geometric functionals on convex bodies are described. For some of these,...
-
Convolution-Like Structures on Multidimensional Spaces
After having constructed convolution-like operators associated with the Shiryaev process and with a family of one-dimensional diffusion processes...