In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three multiplicities of an ...

ABSTRACT: The research paper investigates the computation of Casimir operators on s l 2 -modules associated with linear differential operators and symbols on the real line. The study considers spaces ...

Transactions of the American Mathematical Society, Vol. 358, No. 8 (Aug., 2006), pp. 3363-3383 (21 pages) We investigate microlocal properties of partial differential operators with generalized ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

In recent papers, S. Kaplan and D. Ellis have used singular integral operator theory, multilinear interpolation and forms of the classical "energy inequality" to obtain results for linear parabolic ...

Abstract: A surface-current equivalence theorem that states that the electromagnetic fields outside a three-dimensional (3-D) source region can be generated (to any degree of accuracy) by electric and ...

To evaluate the security of a cryptographic primitive, investigating its resistance against differential and linear cryptanalysis is required. Many modern cryptographic primitives repeatedly apply ...

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