Results 81 to 90 of about 2,539 (196)
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Isometries of a function space
International Journal of Mathematics and Mathematical Sciences, 1987 It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be characterized by means of a function h together with a Borel measurable mapping ϕ of ℝ, thus generalizing the Banach-Lamparti theorem of Lp spaces.
U. D. Vyas
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On a class of quasiconformal functions in Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1973 A quasiconformal function / on a domain D in a complex Banach space E is defined as a function on D such that for every holomorphic mapping D from the unit disk A into D the composite mapping f'o 'D is quasiconformal in the usual sense. With respect to the Kobayashi-Kiernan pseudo distance on D, Schwarz's lemma, Liouville's theorem and the little ...
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Self‐improving property for certain degenerate functionals with generalized Orlicz growth
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
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Convergence of Hermite expansions in modulation spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract The aim of this paper is to give an elementary proof that the Hermite expansion of a function f$f$ in the modulation space Mp(R)$M^p({\mathbb {R}})$ converges to f$f$ in Mp(R)$M^p({\mathbb {R}})$ when 1
Philippe Jaming, Michael Speckbacher
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras.
Lothar Schlafer +2 more
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Approximation on Banach spaces of functions on the sphere
Journal of Approximation Theory, 2006 A number of approximation results, which were originally proved on \(L_p(S^{d-1})\), \(1 \leq p \leq \infty\), where \(S^{d-1}\) is the unit sphere in \(R^d\), are extended to Banach spaces on the sphere for which operation by a \(d \times d\) orthogonal matrix is a continuous isometry.
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Local Uniform Convexity and Kadec-Klee Type Properties in K-interpolation spaces II
Journal of Function Spaces and Applications, 2004 We study local uniform convexity and Kadec-Klee type properties in K-interpolation spaces of Lorentz couples. We show that a wide class of Banach couples of (commutative and) non-commutative Lorentz spaces possess the (so-alled) (DGL)-property originally
Peter G. Dodds +3 more
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Notes on banach function spaces. IV
Indagationes Mathematicae (Proceedings), 1963 Luxemburg, W.A.J., Zaanen, A.C.
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