BANACH SPACES FOR THE SCHWARTZ DISTRIBUTIONS

Tepper L. Gill

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BANACH SPACES FOR THE SCHWARTZ DISTRIBUTIONS

机译：SCHWARTZ分布的Banach空间

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This paper is a survey of a new family of Banach spaces B that provide the same structure for the Henstock-Kurzweil (HK) integrable functions as the L~P spaces provide for the Lebesgue integrable functions. These spaces also contain the wide sense Denjoy integrable functions. They were first use to provide the foundations for the Feynman formulation of quantum mechanics. It has recently been observed that these spaces contain the test functions D as a continuous dense embedding. Thus, by the Hahn-Banach theorem, Dʹ⊂Bʹ.A new family that extend the space of functions of bounded mean oscillation BMO[ℝ~n], to include the HK-integrable functions are also introduced.

机译：本文是对一个新的Banach空间B族的调查，该族为Henstock-Kurzweil（HK）可积函数提供的结构与L〜P空间为Lebesgue可积函数提供的结构相同。这些空间还包含广泛意义上的Denjoy可积函数。它们首先被用来为量子力学的费曼公式化奠定基础。最近已经观察到，这些空间包含作为连续密集嵌入的测试函数D。因此，通过Hahn-Banach定理Dʹ⊂Bʹ。还引入了一个新的族，该族扩展了有界平均振荡BMO [ℝ〜n]的函数空间，包括HK可积函数。

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来源
《Real analysis exchange》 |2018年第1期|1-36|共36页
作者
Tepper L. Gill;
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作者单位

Departments of Electrical & Computer Engineering and Mathematics, Howard University, Washington DC 20059 U.S.A.;

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原文格式 PDF
正文语种 eng
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关键词
Banach space. Henstock-Kurzweil integral; Feynman path integral; Navier- Stokes; Markov Processes;

机译：Banach空间。 Henstock-Kurzweil积分;Feynman路径积分;Navier-Stokes;Markov过程;

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专利

1. The ε_c-Product of a Schwartz b-Space by a Quotient Banach Space and Applications [J] . Belmesnaoui Qqzzouz Applied categorical structures . 2002,第6期

机译：商Banach空间的Schwartz b空间的ε_c乘积及其应用
2. Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity [J] . Julian Larcher Analysis . 2013,第4期

机译：L. Schwartz测试函数和分布的空间中的乘法和卷积及其连续性
3. Cohomologies of spaces of Schwartz distributions [J] . Zharinov V.V. Theoretical and mathematical physics . 2012,第1期

机译：Schwartz分布的空间的同调
4. Distributional generalized Hankel-Schwartz type transformations on the spaces L#x2032;p,v of distributions [C] . Malgonde S.P., Gaikawad G.S. 2013 International Conference on Advances in Technology and Engineering . 2013

机译：分布空间L′p，v上的分布广义Hankel-Schwartz型变换
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. ON QUASI-COMPLEMENTED SUBSPACES OF BANACH SPACES [O] . Haskell P. Rosenthal 1968

机译：Banach空间的拟补子空间
7. Topological tensor products of a Fréchet-Schwartz space and a Banach space [O] . Alfredo Peris 1993

机译：Fréchet-schwartz空间和Banach空间的拓扑张量产品
8. On Schwartz Operator Ideals Determined by the Order-Bounded Sets in a Banach Lattice [R] . Swart, J., Conradie, J. J. 1980

机译：关于Banach格上有界集的schwartz算子理想

BANACH SPACES FOR THE SCHWARTZ DISTRIBUTIONS

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