Results 11 to 20 of about 264 (76)

PCT, spin and statistics, and analytic wave front set [PDF]

, 2006
A new, more general derivation of the spin-statistics and PCT theorems is presented. It uses the notion of the analytic wave front set of (ultra)distributions and, in contrast to the usual approach, covers nonlocal quantum fields.
A. S. Wightman, G. V. Efimov, G. V. Efimov, H. H. Schaefer, H. J. Borchers, H. Komatsu, I. M. Gelfand, J. Bümmerstede, L. Hörmander, M. A. Solov'ev, M. A. Solov'ev, M. A. Solov'ev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, N. N. Bogoliubov, R. F. Streater, R. Jost, U. Moschella, V. Ya. Fainberg, V. Ya. Fainberg, V. Ya. Fainberg, W. Lücke, W. Lücke, W. Lücke, W. Pauli   +28 more
core   +1 more source

On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution [PDF]

, 2017
We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties ...
Pilipovic, Stevan, Prangoski, Bojan, Vindas, Jasson   +2 more
core   +2 more sources

Hyperfunction Fundamental Solutions of Surjective Convolution Operators on Real Analytic Functions

Journal of Functional Analysis, 1995
Let \(\mu\in A(\mathbb{R})\). The author characterizes the surjectivity of the convolution operator \(T_\mu:= \mu*\) on real analytic functions by two equivalent conditions: (1) \(T_\mu\) admits hyperfunctional elementary solutions \(E_+\) (and \(E_-\)), which are analytic on an angular neighbourhood of \(]- \infty, C[\) (respectively, \([- C, \infty[\)
openaire   +1 more source

Quantum field theory with a fundamental length: A general mathematical framework

, 2009
We review and develop a mathematical framework for nonlocal quantum field theory (QFT) with a fundamental length. As an instructive example, we reexamine the normal ordered Gaussian function of a free field and find the primitive analyticity domain of ...
Gelfand I. M., Iofa M. Z., Jost R., M. A. Soloviev, Meyman N. N., Streater R. F.   +5 more
core   +1 more source

Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces

, 2002
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine, Hasler, Maximilian F., Pilipović, Stevan, Valmorin, Vincent   +3 more
core   +1 more source

Invariant differential equations on homogeneous manifolds [PDF]

, 1977
First published in the Bulletin of the American Mathematical Society in Vol.83, 1977, published by the American Mathematical ...
Helgason, S.
core   +2 more sources

Why we age

Biological Reviews, EarlyView.
ABSTRACT Three categories of explanations exist for why we age: mechanistic theories, which omit reference to evolutionary forces; weakening force of selection theories, which posit that barriers exist that prevent evolutionary forces from optimising fitness in ageing; and optimisation theories, which posit that evolutionary forces actually select for ...
Michael S. Ringel
wiley   +1 more source

Wave Front Sets of Reductive Lie Group Representations [PDF]

, 2015
If $G$ is a Lie group, $H\subset G$ is a closed subgroup, and $\tau$ is a unitary representation of $H$, then the authors give a sufficient condition on $\xi\in i\mathfrak{g}^*$ to be in the wave front set of $\operatorname{Ind}_H^G\tau$.
Harris, Benjamin, He, Hongyu, Olafsson, Gestur   +2 more
core   +1 more source

Management of post‐implant fibrous dysplasia in the maxilla: A case study

Clinical Advances in Periodontics, EarlyView.
Abstract Background Fibrous dysplasia is generally rare, and even rarer in older adults. Special care is needed when altering the alveolar bone in these cases, especially if an implant is involved. This case study highlights such a scenario. Methods This case study details the experience of a 63‐year‐old African American female who presented with a ...
Yousef Taha Y. Amrou, Anass M. Koleilat, Abdusalam E. Alrmali, Felipe Nor, Hom‐Lay Wang   +4 more
wiley   +1 more source

Syzygies of modules and applications to propagation of regularity phenomena [PDF]

, 1990
Propagation of regularity is considered for solutions of rectangular systems of infinite order partial differential equations (resp. convolution equations) in spaces of hyperfunctions (resp. C∞ functions and distributions). Known results of this kind are
Meriland, A., Struppa, D. C.
core   +2 more sources