Zobrazeno 1 - 10
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pro vyhledávání: '"Charles N. Friedman"'
Autor:
John Day Dollard, Charles N. Friedman
Originally published in 1979, this book shows the beautiful simplifications that can be brought to the theory of differential equations by treating such equations from the product integral viewpoint. The first chapter of the book, dealing with linear
Autor:
Charles N. Friedman
Publikováno v:
Advances in Applied Mathematics. 23(3):234-254
We formulate and discuss the notion of generic sequence (and random sequence) associated with a sequence of random variables. These are substantial generalizations of the notion of “collective” introduced by R. von Mises as an attempt to give an
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af7fae6853242d9db5246069ba2f4a10
Autor:
Charles N. Friedman
Publikováno v:
Applied Mathematics and Computation. 47:137-143
We present some conditions equivalent to the existence of a Hamiltonian cycle in a graph on n vertices. Among other things, we show that for each n, there is an explicitly determined nxn diagonal matrix D such that if A is the adjacency matrix of suc
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https://doi.org/10.1016/0096-3003(92)90042-y
https://doi.org/10.1016/0096-3003(92)90042-y
Autor:
Charles N. Friedman
Publikováno v:
Journal of Mathematical Analysis and Applications. 102:509-518
by the method of product integration. We will prove an existence and uniqueness theorem and related results for solutions of (0.2) when A is a (time dependent, possibly non-linear) vector field on a Banach space, satisfying a Lipschitz condition in t
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https://doi.org/10.1016/0022-247x(84)90189-6
https://doi.org/10.1016/0022-247x(84)90189-6
Autor:
Charles N. Friedman
Publikováno v:
Journal of Mathematical Analysis and Applications. 112:446-454
Externí odkaz:
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https://doi.org/10.1016/0022-247x(85)90254-9
https://doi.org/10.1016/0022-247x(85)90254-9
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Mathematical Physics. 20:1727-1730
We discuss the potential scattering into a cone C in position space of a beam of particles with localized momenta distributed over a set K, and the derivation from time‐dependent scattering theory of the formula ∫Kdk∫CdΩ σk(Ω) [where σk(Ω)
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https://doi.org/10.1063/1.524257
https://doi.org/10.1063/1.524257
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Functional Analysis. 28:355-368
This paper continues the joint work of the authors begun in the article “On Strong Product Integration” [J. Functional Analysis, submitted]. We consider product integrals along contours; the point of view and development is analogous to the usual
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https://doi.org/10.1016/0022-1236(78)90092-7
https://doi.org/10.1016/0022-1236(78)90092-7
Autor:
Charles N. Friedman
Publikováno v:
Journal of Mathematical Analysis and Applications. 80(2):461-476
We analyze the asymptotic behavior as x → ∞ of the product integral Πx0xeA(s)ds, where A(s) is a perturbation of a diagonal matrix function by an integrable function on [x0,∞). Our results give information concerning the asymptotic behavior of
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Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Functional Analysis. 28:309-354
Product integration is defined for a very general class of bounded-operator-valued functions on a Banach space X. Previous assumptions of continuity or Riemann-integrability of such functions are not needed. Properties of the product integral in the
Externí odkaz:
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https://doi.org/10.1016/0022-1236(78)90091-5
https://doi.org/10.1016/0022-1236(78)90091-5
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Product Integration with Application to Differential Equations. :193-214
Externí odkaz:
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https://doi.org/10.1017/cbo9781107340701.012
https://doi.org/10.1017/cbo9781107340701.012