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pro vyhledávání: '"Leonard. Gross"'
Autor:
Leonard Gross
Publikováno v:
Nuclear Physics B, Vol 945, Iss , Pp - (2019)
In the canonical formalism for the free electromagnetic field a solution to Maxwell's equations is customarily identified with its initial gauge potential (in Coulomb gauge) and initial electric field, which together determine a point in phase space.
Externí odkaz:
https://doaj.org/article/921ddf3c4e384a1f96e7c42f7edd2b33
Autor:
Leonard Gross
Publikováno v:
Memoirs of the American Mathematical Society. 275
The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over R 3 \mathbb {R}^3 and over a bounded open convex set in R 3 \mathbb {R}^3 . The initial data is taken to lie in the Sobolev space of order one half, which is the
Autor:
Leonard Gross
New York Times Bestseller: The true story of twelve Jews who went underground in Nazi Berlin—and survived: “Consummately suspenseful” (Los Angeles Times). When Adolf Hitler came to power in 1933, approximately one hundred sixty thousand Jews ca
Autor:
Leonard Gross
Publikováno v:
Communications on Pure and Applied Mathematics. 19:1-15
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 62(3):427-474
Given a non-negative Hermitian form on the dual of the Lie algebra of a complex Lie group, one can associate to it a (possibly degenerate) Laplacian on the Lie group. Under Hormander's condition on the Laplacian there exists a smooth time-dependent m
Publikováno v:
Journal of the European Mathematical Society. :941-978
A Hermitian formq on the dual space, g , of the Lie algebra, g; of a Lie group,G; de- termines a sub-Laplacian,1; onG: It will be shown that Hcondition for hypoellipticity of the sub-Laplacian holds if and only if the associated Hermitian form, induc
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 146:177-195
A Hermitian formqon the dual space,*, of the Lie algebra,, of a simply connected complex Lie group,G, determines a sub-Laplacian, Δ, onG. Assuming Hörmander's condition for hypoellipticity, there is a smooth heat kernel measure, ρt, onGassociated
We show that for a hypoelliptic Dirichlet form operator A on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of A is strongly hypercontractive in the sense of Janson. This extends previous re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba0fc888935232ce91773a8797c4fb61
Autor:
Martin Grothaus, Leonard Gross
Publikováno v:
Canadian Journal of Mathematics. 57:506-534
Contractivity and hypercontractivity properties of semigroups are now well understood when the generator, A, is a Dirichlet form operator. It has been shown that in some holomorphic function spaces the semigroup operators, e−tA, can be bounded belo