## 22 Citations

### Non-Euclidean Fourier Inversion on Super-hyperbolic Space

- MathematicsCommunications in Mathematical Physics
- 2016

For the super-hyperbolic space in any dimension, we introduce the non-Euclidean Helgason–Fourier transform. We prove an inversion formula exhibiting residue contributions at the poles of the…

### Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspaces

- MathematicsDocumenta Mathematica
- 2014

We compute the Harish-Chandra c-function for a generic class of rank-one purely non-compact Riemannian symmetric super- spaces X = G/K in terms of Euler functions, proving that it is meromorphic.…

### Killing Vector Fields and Superharmonic Field Theories

- Mathematics
- 2013

The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, referred to as superharmonic action, which resembles the supersymmetric sigma models studied in high…

### Fourier Analysis on Non-Compact Symmetric Superspaces of Rank One

- Mathematics
- 2014

This thesis covers two topics. The first part studies the asymptotic behaviour of spherical super functions on non-compact symmetric super spaces of low rank. This plays an important role in the…

### On Complex Supermanifolds with Trivial Canonical Bundle

- Mathematics
- 2016

We give an algebraic characterisation for the triviality of the canonical bundle of a complex supermanifold in terms of a certain Batalin-Vilkovisky superalgebra structure. As an application, we…

### Dynamics of a Diffusive Multigroup SVIR Model with Nonlinear Incidence

- MathematicsComplex.
- 2020

A multigroup SVIR epidemic model with reaction-diffusion and nonlinear incidence, applying the classical method of Lyapunov and a recently developed graph-theoretic approach, is investigated and the global stability of the endemic equilibria is established.

### Analysis of a general multi-group reaction-diffusion epidemic model with nonlinear incidence and temporary acquired immunity

- MathematicsMath. Comput. Simul.
- 2021

### Bifurcation Analysis of a Diffusive SIR Model with Saturated Treatment in a Heterogeneous Environment

- MathematicsInt. J. Bifurc. Chaos
- 2021

In this paper, we propose a diffusive SIR model with general incidence rate, saturated treatment rate and spatially heterogeneous diffusion coefficients. We first prove the global existence of…

### Spatial dynamics and optimization method for a network propagation model in a shifting environment

- MathematicsDiscrete & Continuous Dynamical Systems - A
- 2021

In this paper, a reaction-diffusion \begin{document}$ ISCT $\end{document} rumor propagation model with general incidence rate is proposed in a spatially heterogeneous environment. We first summarize…

## References

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- Mathematics
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In this paper, the classical theory of spherical harmonics in is extended to superspace using techniques from Clifford analysis. After defining a super-Laplace operator and studying some basic…

### A geometric approach to scalar field theories on the supersphere

- Mathematics
- 2005

Following a strictly geometric approach we construct globally supersymmetric scalar field theories on the supersphere, defined as the quotient space S2∣2=UOSp(1∣2)∕U(1). We analyze the superspace…

### Spherical harmonics and integration in superspace: II

- Physics
- 2007

The study of spherical harmonics in superspace, introduced in (De Bie and Sommen 2007 J. Phys. A: Math. Theor. 40 7193) is further elaborated. A detailed description of spherical harmonics of degree…

### Killing Vector Fields and Superharmonic Field Theories

- Mathematics
- 2013

The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, referred to as superharmonic action, which resembles the supersymmetric sigma models studied in high…

### Introduction to the Theory of Supermanifolds

- Mathematics
- 1980

CONTENTSIntroduction Chapter I. Linear algebra in superspaces § 1. Linear superspaces § 2. Modules over superalgebras § 3. Matrix algebra § 4. Free modules § 5. Bilinear forms § 6. The supertrace §…

### Berezin integration and dimensional reduction

- Physics
- 1988

A basic theorem of elementary Berezin integration, relating integrals of the invariant ~2 + ~0 to those of just the c-number part ~2 in 2 dimensions lower, is discussed. Examples of such "dimensional…

### Orthosymplectically invariant functions in superspace

- Mathematics, Physics
- 2010

The notion of spherically symmetric superfunctions as functions invariant under the orthosymplectic group is introduced. This leads to dimensional reduction theorems for differentiation and…