SOBOLEV SPACES ON LOCALLY COMPACT ABELIAN GROUPS AND THE BOSONIC STRING EQUATION

DOI10.1017/S1446788714000433zbMath1311.43005MaRDI QIDQ5175137

Przemysław Górka, Enrique G. Reyes

Publication date: 20 February 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesstring theoryembedding theoremslocally compact groupsabstract harmonic analysisnonlinear nonlocal equations

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) Pseudodifferential operators and other generalizations of partial differential operators (35Sxx)

Related Items (7)

Sobolev spaces on metrizable groups ⋮ On the solubility of certain classes of non-linear integral equations in $ p$-adic string theory ⋮ A second look of Sobolev spaces on metrizable groups ⋮ On a characterization of the Rellich-Kondrachov theorem on groups and the Bloch spectral cell equation ⋮ Sobolev spaces on compact groups ⋮ Looking for compactness in Sobolev spaces on noncompact metric spaces ⋮ Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью

Cites Work

• Nonlinear equations with infinitely many derivatives
• A new formulation of the initial value problem for nonlocal theories
• Phase-space analysis and pseudo-differential calculus on the Heisenberg group
• Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields
• Compactness in translation invariant Banach spaces of distributions and compact multipliers
• On a family of weighted convolution algebras
• Sobolev spaces on Riemannian manifolds
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• On a general class of nonlocal equations
• Localization of nonlocal theories
• The equation of the $ p$-adic open string for the scalar tachyon field
• Pseudo-Differential Operators and Symmetries
• A Locally Compact Non Divisible Abelian Group Whose Character Group Is Torsion Free and Divisible
• PEGO THEOREM ON LOCALLY COMPACT ABELIAN GROUPS
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