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A classification of harmonic weak Maaß forms of half-integral weight
We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maaß forms with exponential growth allowed at...
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Weight Polytopes and Energy Functionals of Toric Varieties
We prove that the weight polytope of the Hurwitz form of a polarized smooth toric variety coincides with the convex hull of the characteristic...
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On the characterization of harmonic functions with initial data in Morrey space
Let ( X, d, μ ) be a metric measure space satisfying the doubling condition and an L 2 -Poincaré inequality. Consider the nonnegative operator
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The Faber Operator Acting on BMOA, BMO-Teichmüller Space and Chord-arc Curves
After reviewing Grunsky operator and Faber operator acting on Dirichlet space, we discuss the boundedness of Faber operator on BMOA, a new subject...
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Continuous Dependence of Szegő Kernel on a Weight of Integration
The weighted Szegő kernel was investigated in a few papers (see Nehari in J d’Analyse Mathématique 2:126–149, 1952; Alenitsin in Zapiski Nauchnykh...
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On Minimal Tilting Complexes in Highest Weight Categories
We explain the construction of minimal tilting complexes for objects of highest weight categories and we study in detail the minimal tilting...
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The Filipović Space and Operators
We present the basic necessary properties of the state space of term structure curves, namely the Filipović space. Particular focus is on the Banach...
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Cohomology of Moduli Space of Cubic Fourfolds I
In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan’s blowup and Laza’s GIT...
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Refined two weight estimates for the Bergman projection
We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball. The first condition is in terms of Orlicz...
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Large Genus Bounds for the Distribution of Triangulated Surfaces in Moduli Space
Triangulated surfaces are compact Riemann surfaces equipped with a conformal triangulation by equilateral triangles. In 2004, Brooks and Makover...
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An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation
In this paper, we design and analyze a space-time spectral method for the subdiffusion equation. Here, we are facing two difficulties. The first is...
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Weight Systems of Framed Chord Diagrams Corresponding to Lie Algebras
AbstractThe Bar-Natan construction of weight systems induced by Lie algebra representations is generalized in the paper to the case of framed chord...
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Unbounded Operators on the Segal–Bargmann Space
In this paper we analyse the domains of differential and multiplication operators on the Segal–Bargmann space. We consider the basic estimate for the...
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The Fermat–Steiner Problem in the Space of Compact Subsets of the Euclidean Plane
The Fermat–Steiner problem is the problem of finding all points of a metric space Y such that the sum of the distances from them to points of a...
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Pricing options on flow forwards by neural networks in a Hilbert space
We propose a new methodology for pricing options on flow forwards by applying infinite-dimensional neural networks. We recast the pricing problem as...
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A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces
In this paper we give necessary and sufficient conditions for the boundedness of the multidimensional Hausdorff operator on weighted Lebesgue spaces....
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Five Hilbert Space Models Related to the Riemann Zeta Function
In a recent work of the author, a de Branges space was constructed, as well as an operator on it whose spectrum coincides with the set of nontrivial...