## 12 Citations

### On the Moyal Star Product of Resurgent Series

- Mathematics
- 2020

We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space of…

### Hadamard Product and Resurgence Theory

- Mathematics
- 2020

We discuss the analytic continuation of the Hadamard product of two holomorphic functions under assumptions pertaining to Écalle’s Resurgence Theory, proving that if both factors are endlessly…

### Noncommutative Supergeometry and Quantum Supergroups

- Mathematics, Physics
- 2015

This is a review of concepts of noncommutative supergeometry - namely Hilbert superspace, C*-superalgebra, quantum supergroup - and corresponding results. In particular, we present applications of…

### Multipliers of Hilbert algebras and deformation quantization

- Mathematics
- 2014

In this paper, we introduce the notion of multiplier of a Hilbert algebra. The space of bounded multipliers is a seminite von Neumann algebra isomorphic to the left von Neumann algebra of the Hilbert…

### S-duality improved perturbation theory in compactified type I/heterotic string theory

- Mathematics, Physics
- 2014

A bstractWe study the mass of the stable non-BPS state in type I/heterotic string theory compactified on a circle with the help of the interpolation formula between weak and strong coupling results.…

### Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach

- Mathematics
- 2014

Let y=F(z) a polynomial system in C^n. The Jacobian Conjecture (JC) states that F is invertible, and its inverse is polynomial, if and only if the determinant of the Jacobian matrix J_F(z) = (d…

### Quantifications par déformations formelles et non formelles de la boule unité de C^n

- Physics
- 2014

A la frontiere de domaines de recherche tels que la geometrie differentielle, l’analyse harmonique sur les espaces homogenes, les equations aux derivees partielles ou la theorie des fonctions…

### Iterated convolutions and endless Riemann surfaces

- MathematicsANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- 2020

We discuss a version of \'Ecalle's definition of resurgence, based on the notion of endless continuability in the Borel plane. We relate this with the notion of \Omega-continuability, where \Omega\…

## References

SHOWING 1-10 OF 40 REFERENCES

### Deformation Quantization for Actions of R ]D

- Mathematics
- 1993

Oscillatory integrals The deformed product Function algebras The algebra of bounded operators Functoriality for the operator norm Norms of deformed deformations Smooth vectors, and exactness…

### On the Stability under Convolution of Resurgent Functions

- Mathematics
- 2013

This article contains a self-contained proof of the stability under convolution of the class of resurgent functions associated with a closed discrete subset of C, under the assumption that , the set…

### Perturbative expansions in quantum mechanics

- Physics, Mathematics
- 2005

We prove a D = 1 analytic versal deformation theorem in the Heisenberg algebra. We define the spectrum of an element in the Heisenberg al- gebra. The quantised version of the Morse lemma already…

### Deformation quantization of Heisenberg manifolds

- Mathematics
- 1989

ForM a smooth manifold equipped with a Poisson bracket, we formulate aC*-algebra framework for deformation quantization, including the possibility of invariance under a Lie group of diffeomorphisms…

### Multi-instantons and exact results I: Conjectures, WKB expansions, and instanton interactions

- Physics
- 2004

### Analytic Continuation of Eigenvalues of a Quartic Oscillator

- Mathematics
- 2009

We consider the Schrödinger operator on the real line with even quartic potential x4 + αx2 and study analytic continuation of eigenvalues, as functions of parameter α. We prove several properties of…

### The return of the quartic oscillator. The complex WKB method

- Mathematics
- 1983

The semi-classical treatment of the one-dimensional Schrodinger equation is made free from all approximation. For an analytic potential indeed, the WKB method in complex parameters can be formalized…

### On the stability by convolution product of a resurgent algebra

- Mathematics
- 2010

Various functional spaces take place in Resurgence theory : multiplicative spaces of formal series expansions that one would like to sum; convolutive spaces of analytic functions, the elements of…