Results 271 to 280 of about 137,723 (315)
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2022
Abstract This chapter is mostly concerned with integral representations of bounded operators, which are far-reaching generalizations of the spectral theorem for selfadjoint matrices. We prove the classical spectral theorem for normal operators on Hilbert spaces.
Shmuel Kantorovitz, Ami Viselter
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Abstract This chapter is mostly concerned with integral representations of bounded operators, which are far-reaching generalizations of the spectral theorem for selfadjoint matrices. We prove the classical spectral theorem for normal operators on Hilbert spaces.
Shmuel Kantorovitz, Ami Viselter
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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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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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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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Integral representation of hyperparabolic equation
2021The paper deals with hyperparabolic equations and the corresponding Cauchy problem for them. The author presents these equations in the form of an integral equation and applies the method of successive approximations for the construction of solutions. The convergence of successive approximations is proved.
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Integral representation and relaxation of local functionals on Cheeger–Sobolev spaces
Nonlinear Analysis: Theory, Methods & Applications, 2022Omar Anza Hafsa +1 more
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On integral representation of the generalized inverse AT,S(2)
Applied Mathematics and Computation, 2003Yimin Wei, Dragan S Djordjevic
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On the Integral Representation of Variational Functionals on $BD$
SIAM Journal on Mathematical Analysis, 2020Matteo Focardi, Nicolas Van Goethem
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