THE RELLICH LEMMA ON COMPACT ABELIAN GROUPS AND EQUATIONS OF INFINITE ORDER

DOI10.1142/S0219887812200307zbMath1261.43001OpenAlexW1976678708WikidataQ124823028 ScholiaQ124823028MaRDI QIDQ4910911

Przemysław Górka, Enrique G. Reyes, Tomasz Kostrzewa

Publication date: 13 March 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887812200307

zbMATH Keywords

Sobolev spaceslocally compact groupsbosonic string equationcompactness embedding

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (7)

Sobolev spaces on metrizable groups ⋮ A second look of Sobolev spaces on metrizable groups ⋮ Sobolev spaces on compact groups ⋮ On a general class of nonlocal equations ⋮ Sobolev spaces on locally compact abelian groups: compact embeddings and local spaces ⋮ Nonlinear evolution equations with infinitely many derivatives ⋮ Pego everywhere

Cites Work

• Nonlinear equations with infinitely many derivatives
• Phase-space analysis and pseudo-differential calculus on the Heisenberg group
• Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields
• Sobolev spaces on Riemannian manifolds
• Localization of nonlocal theories
• The initial value problem for ordinary differential equations with infinitely many derivatives
• The equation of the $ p$-adic open string for the scalar tachyon field
• Pseudo-Differential Operators and Symmetries
• Open string fields and D‐branes
• Functional calculus via Laplace transform and equations with infinitely many derivatives

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