MATH420-12S1 (C) Semester One 2012

Hilbert Spaces

15 points

Details:
Start Date: Monday, 20 February 2012
End Date: Sunday, 24 June 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 2 March 2012
  • Without academic penalty (including no fee refund): Friday, 18 May 2012

Description

Hilbert Spaces

The theory of Hilbert spaces is fundamental in many areas of modern mathematical analysis, having a clear and easy-to-grasp geometric structure, just like Euclidean spaces.  However, unlike Euclidean spaces, Hilbert spaces may be infinite dimensional.  

The course will be self-contained, introducing important spaces (especially L2(m)), operators on them, and basic spectral theory.  Applications in dynamical systems (von Neumann’s ergodic theorem) and quantum mechanics will be included as time permits.  

Prior exposure to MATH343 would be an asset, but is not mandatory.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Rua Murray

Indicative Fees

Domestic fee $788.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

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