Results 241 to 250 of about 1,282,859 (290)
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2003
Abstract Let X be a Banach space. A Banach subspa ce Z of X is a subspace of X in the algebraic sense, which is a Banach space for a norm II • llz larger than or equal to the given norm II · II of X. Clearly, if Zand X are Banach subspaces of each other, then they coincide as Banach spaces (with equality of norms).
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Abstract Let X be a Banach space. A Banach subspa ce Z of X is a subspace of X in the algebraic sense, which is a Banach space for a norm II • llz larger than or equal to the given norm II · II of X. Clearly, if Zand X are Banach subspaces of each other, then they coincide as Banach spaces (with equality of norms).
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Series and Integral Representations
1989Summary: The article in question is devoted to exposition of historical aspects of the theory of convergence of series and integrals. The main attention is paid to the question of regularization of divergent integrals and summation of divergent series.
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INTEGRAL REPRESENTATIONS OF POLYHARMONIC OPERATORS
KIBERNETYKA TA SYSTEMNYI ANALIZThe study is devoted to establishing optimal mathematical models in the context of system analysis problems. Namely, nontrivial boundary conditions are applied to the problem of integrating polyharmonic equations in polar coordinates. The function, which is triharmonic in a unit disk, is presented in the form of an integral with a delta-like kernel ...
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Integral Representations and Integral Equations
2001We introduce in this chapter the integral representations of the solutions of the Helmholtz equation. We study the associated integral equations and their main properties. When the wave number k is zero, these integral representations are those associated with the Laplace equation. They have very specific properties.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Square-Integrable Representations
2002We are now well-equipped to study the main contents in this book. We begin with a study of square-integrable representations of locally compact and Hausdorff groups on Hilbert spaces. This chapter can be considered as a continuation of the study of unitary representations begun in Chapter 5.
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Integral Representation Method
1990When solving the problems of science and engineering it is necessary to know the limit distribution of the random variables det(I + Ξ n ), where Ξ n = (ξ ij ) is a random square matrix of order n. This Chapter solves the following problem: by a suitable choice of constants a n , to find the conditions of the convergence and the general form of all the ...
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