spectral theory sentence in Hindi
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- It is possible to generalize spectral theory to such algebras.
- Spectral theory also underlies certain aspects of the Fourier transform of a function.
- He is considered one of the founders of the modern Multiparameter Spectral Theory.
- Unital Banach algebras over the complex field provide a general setting to develop spectral theory.
- He wrote five papers directly related to spectral theory of operators which Hilbert was developing.
- There have been three main ways to formulate spectral theory, all of which retain their usefulness.
- Some applications have required the development of " p "-adic functional analysis and spectral theory.
- Answering such questions is the realm of spectral theory and requires considerable background in functional analysis and matrix algebra.
- The role of spectral theory arises in establishing the nature and existence of the basis and the reciprocal basis.
- The spectral theory of compact operators then follows, and it is due to Frigyes Riesz ( 1918 ).
- Yadrenko's monograph " Spectral Theory of Random Fields " became a handbook for experts in random fields.
- And found close connections between cube tilings and the spectral theory of square-integrable functions on the cube.
- He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard.
- Egorov's research deals with differential equations and applications in mathematical physics, spectral theory, and optimal control theory.
- The Fourier transform on the real line is in one sense the spectral theory of differentiation " qua " differential operator.
- The remainder of this article assumes the reader is familiar with the spectral theory of self-adjoint operators on a Hilbert space.
- Projection-valued measures are used to express results in spectral theory, such as the important spectral theorem for self-adjoint operators.
- His work has focused on broad areas of mathematical physics and ergodic Schr�dinger operators, orthogonal polynomials, and non-selfadjoint spectral theory.
- The Kuznetsov or " relative trace " formula connects Kloosterman sums at a deep level with the spectral theory of automorphic forms.
- During his service in World War II Naimark wrote several papers on seismology, and helping to develop the Spectral theory of ordinary differential equations.
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