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Physical Sciences and Mathematics Commons

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Mathematics

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Theses/Dissertations

2009

Mathematical functions

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Certain Pattern Recognition Tasks Using Genetic Programming., Durga Muni Dr. Apr 2009

Certain Pattern Recognition Tasks Using Genetic Programming., Durga Muni Dr.

Doctoral Theses

No abstract provided.


Spectral Analysis And Synthesis For Radial Sections Of Homogenous Vector Bundles On Certain Noncompath Riemannian Symmetric Spaces., Sanjoy Pusti Dr. Feb 2009

Spectral Analysis And Synthesis For Radial Sections Of Homogenous Vector Bundles On Certain Noncompath Riemannian Symmetric Spaces., Sanjoy Pusti Dr.

Doctoral Theses

We consider two classical theorems of real analysis which deals with translation invariant subspaces of integrable and smooth functions on R respectively. The first one is a theorem of Norbert Wiener [63] which states that if the Fourier transform of a function f ∈ L 1 (R) has no real zeros then the finite linear combinations of translations f(x − a) of f with complex coefficients form a dense subspace in L 1 (R), equivalently, span{g ∗ f | g ∈ L 1 (R)} is dense in L 1 (R). This theorem is well known as the Wiener-Tauberian Theorem (WTT). …