Results 101 to 110 of about 10,386,040 (275)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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Entire functions with Cantor bouquet Julia sets
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint‐type function of finite order is a Cantor bouquet; in particular, it is a collection of arcs (‘hairs'), each connecting a finite endpoint to infinity.
Leticia Pardo‐Simón, Lasse Rempe
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Holomorphic functions with values in locally convex spaces and applications to integral formulas [PDF]
, 1964 Lutz Bungart
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On the volume growth of K\"ahler manifolds with nonnegative bisectional curvature [PDF]
, 2015 Let $M$ be a complete K\"ahler manifold with nonnegative bisectional curvature. Suppose the universal cover does not split and $M$ admits a nonconstant holomorphic function with polynomial growth, we prove $M$ must be of maximal volume growth.
Liu, Gang
core
Interactions between universal composition operators and complex dynamics
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou +2 more
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Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
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Holomorphic functions with growth conditions [PDF]
Transactions of the American Mathematical Society, 1975 Let P be a p x q matrix of polynomials in n complex variables. If Q2 is a domain of holomorphy in Cnand u is a q-tuple of holomorphic functions we show that the equafion Pv = Pu has a solution v which is a holomorphic qtuple in Q2 and which satisfies an L2estimate in terms of Pu. Similar results have been obtained by Y.-T. Siu and R.
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Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
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Braiding in Conformal Field Theory and Solvable Lattice Models
, 1993 Braiding matrices in rational conformal field theory are considered. The braiding matrices for any two block four point function are computed, in general, using the holomorphic properties of the blocks and the holomorphic properties of rational conformal
Bilal +21 more
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On holomorphic Artin L-functions [PDF]
Monatshefte für Mathematik, 2017 Let $K/\Q$ be a finite Galois extension, $s_0\in \C\setminus \{1\}$, $Hol(s_0)$ the semigroup of Artin L-functions holomorphic at $s_0$. We present criteria for Artin's holomorphy conjecture in terms of the semigroup $Hol(s_0)$. We conjecture that Artin's L-functions are holomorphic at $s_0$ if and only if $Hol(s_0)$ is factorial. We prove this if $s_0$
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