Title

The Role of Linear Independence in Function Spaces

Date

5-30-2013 10:00 AM

Location

Math and Nursing Building (MNB) 104

Department

Mathematics

Session Chair

Hamid Behmard

Session Title

Mathematics Senior Project Presentations 2

Faculty Sponsor(s)

Scott Beaver

Presentation Type

Symposium

Abstract

Linear independence is one of the main defining characteristics in vector space theory as it guarantees a unique representation in terms of basis vectors. Further, we can expand the concept of linear independence with the study of frames, which generalize the idea of a basis while allowing for more desirable traits. In this talk we examine certain collections of functions, both finite-dimensional and infinite-dimensional, and the necessary conditions for linear independence within. In closing, we take a look at linear independence as applied to wavelet theory.

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May 30th, 10:00 AM

The Role of Linear Independence in Function Spaces

Math and Nursing Building (MNB) 104

Linear independence is one of the main defining characteristics in vector space theory as it guarantees a unique representation in terms of basis vectors. Further, we can expand the concept of linear independence with the study of frames, which generalize the idea of a basis while allowing for more desirable traits. In this talk we examine certain collections of functions, both finite-dimensional and infinite-dimensional, and the necessary conditions for linear independence within. In closing, we take a look at linear independence as applied to wavelet theory.