spectral theory sentence in Hindi
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- After Hilbert's initial formulation, the later development of abstract Hilbert space and the spectral theory of a single normal operator on it did very much go in parallel with the requirements of physics; particularly in the hands of von Neumann.
- The Hecke operators, which act on the space of all cusp forms, preserve the subspace of newforms and are spectral theory of such operators, there exists a basis for the space of newforms consisting of eigenforms for the full Hecke algebra.
- He has performed research in various areas of mathematics and the applied sciences such as non-self-adjoint operator theory, multiparameter spectral theory, the theory of joint spectra, differential equations, numerical ranges, and mathematical models of economy.
- "' Kalyan Bidhan Sinha ( K . B . Sinha ) "'( born 3 June 1944 ) is an Indian mathematician who specialised in mathematical theory of scattering, spectral theory of Schr�dinger operators, and quantum stochastic processes.
- He proposed as a generalization of eigenvalues, the concept of the spectrum of an operator, in an 1897 paper; the concept was further extended by David Hilbert and now it forms the main object of investigation in the field of spectral theory.
- This series really comes up in rather specialized applications to spectral theory, where one would like to assign a finite value to something that turns out to actually be infinite ( like a trace of an operator that isn't properly trace class ).
- Spectral theory of a simple kind applies, to show that " L " acts via a basis of eigenvectors; in other words " L " has an action that is via diagonal matrices on the holomorphic vector fields on " A ".
- He is Editor-in-Chief of Acta Mathematica, Editor-in-Chief of Arkiv f�r Matematik, Deputy Chief Editor of the " Journal of Spectral Theory ", Editor of the " Bulletin of Mathematical Sciences ", Editor of " Problems in Mathematical Analysis ", and Editor of " Izvestiya Vysshikh Uchebnykh Zavedenii.
- "' Mark Kac "'(; Can one hear the shape of a drum ? " set off research into spectral theory, with the idea of understanding the extent to which the spectrum allows one to read back the geometry . ( In the end, the answer was " no ", in general .)
- "' Friedrich " Fritz " Gesztesy "'( born 5 November 1953, Austria ) is a well-known Austrian-American mathematical physicist and Professor of Mathematics at Baylor University, known for his important contributions in spectral theory, functional analysis, partial differential operators, and completely integrable systems ( soliton equations ).
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