Results 51 to 60 of about 39,291 (187)

INTEGRAL REPRESENTATIONS IN HERMITEAN CLIFFORD ANALYSIS [PDF]

, 2010
Euclidean Clifford analysis is a higher dimensional function theory offering a refinement of classical harmonic analysis. The theory is centered around the concept of monogenic functions, i.e.
Brackx, Fred, De Schepper, Hennie, Luna-Elizararras, Maria Elena, Shapiro, Michael   +3 more
core   +1 more source

Functions of several Cayley-Dickson variables and manifolds over them

, 2006
Functions of several octonion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the ${\tilde {\partial}}$-equations are studied.
A. Connes, A. G. Kurosh, A. N. Kolmogorov, B. DeWitt, E. H. Spanier, F. A. Berezin, G. Emch, H. B. Lawson, J. C. Baez, J. D. Moore, J. J. Loeb, K. Kodaira, L. Narici, N. Murakoshi, R. Engelking, S. V. Ludkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, V. A. Zorich, W. Klingenberg   +22 more
core   +1 more source

Truncated Floquet–Bloch transform for computing the spectral properties of large finite systems of resonators

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari, Silvio Barandun, Alexander Uhlmann   +2 more
wiley   +1 more source

Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk   +2 more
wiley   +1 more source

Function theory and holomorphic maps on symmetric products of planar domains [PDF]

, 2013
We show that the $\bar{\partial}$-problem is globally regular on a domain in $\mathbb{C}^n$, which is the $n$-fold symmetric product of a smoothly bounded planar domain.
Chakrabarti, Debraj, Gorai, Sushil
core  

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
wiley   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

Monodromy and normal forms

, 2015
We discuss the history of the monodromy theorem, starting from Weierstra\ss, and the concept of monodromy group. From this viewpoint we compare then the Weierstra\ss , the Legendre and other normal forms for elliptic curves, explaining their geometric ...
Catanese, Fabrizio
core   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

On discrete subgroups of the complex unit ball

Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.
Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
wiley   +1 more source