Discrete Fourier–Laplace Transforms of Lipschitz Functions in the Spaces $$S^{(p,q)}(\sigma ^{m-1})$$
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DOI: 10.1007/s11785-021-01117-3
Abstract: In this paper, we extend the classical Titchmarsh theorem on the image under the discrete Fourier–Laplace transform of a set of functions satisfying a generalized Lipschitz and Dini–Lipschitz condition in the space $$S^{(p,q)}(\sigma ^{m-1})$$ ,… read more here.
Keywords: fourier laplace; laplace transforms; transforms lipschitz; discrete fourier ... See more keywords
Smooth semi-Lipschitz functions and almost isometries between Finsler manifolds
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DOI: 10.1016/j.jfa.2020.108662
Abstract: Abstract The convex cone S C SLip 1 ( X ) of real-valued smooth semi-Lipschitz functions on a Finsler manifold X is an order-algebraic structure that captures both the differentiable and the quasi-metric feature of… read more here.
Keywords: smooth semi; almost isometries; finsler manifolds; lipschitz functions ... See more keywords
Compact homomorphisms between algebras of C(K)-valued Lipschitz functions
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DOI: 10.1016/j.jmaa.2018.07.010
Abstract: We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms. read more here.
Keywords: valued lipschitz; homomorphisms algebras; algebras valued; lipschitz functions ... See more keywords
An SQP method for minimization of locally Lipschitz functions with nonlinear constraints
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DOI: 10.1080/02331934.2018.1545123
Abstract: Abstract In this paper, we present a quadratic model for minimizing problems with nonconvex and nonsmooth objective and constraint functions. This method is based on sequential quadratic programming that uses an penalty function to equilibrate… read more here.
Keywords: sqp method; minimization locally; lipschitz functions; locally lipschitz ... See more keywords
Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions
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DOI: 10.2969/jmsj/83448344
Abstract: We show, as our main theorem, that if a Lipschitz map from a compact Riemannian manifold M to a connected compact Riemannian manifold N , where dimM ≥ dimN , has no singular points on… read more here.
Keywords: via ehresmann; sphere theorem; theorem lipschitz; reeb sphere ... See more keywords