Math 644: Harmonic Analysis - Revision history

Sph at 20:22, 3 December 2014

2014-12-03T20:22:07Z

Sph at 20:21, 3 December 2014

2014-12-03T20:21:36Z

Sph at 20:20, 3 December 2014

2014-12-03T20:20:26Z

Sph at 20:19, 3 December 2014

2014-12-03T20:19:50Z

Ls5: moved Math 644 to Math 644: Harmonic Analysis

2013-04-03T22:45:04Z

moved Math 644 to Math 644: Harmonic Analysis

Cpg: /* Minimal learning outcomes */

2010-07-28T16:38:31Z

‎Minimal learning outcomes

Cpg: /* Prerequisite */

2009-06-04T18:51:05Z

‎Prerequisite

Cpg at 18:20, 9 May 2008

2008-05-09T18:20:28Z

Cpg at 15:39, 9 May 2008

2008-05-09T15:39:50Z

Cpg: New page: == Desired Learning Outcomes == === Prerequisites === === Minimal learning outcomes ===

=== Additional topics === === Course...

2008-05-07T16:55:03Z

New page: == Desired Learning Outcomes == === Prerequisites === === Minimal learning outcomes === <div style="-moz-column-count:2; column-count:2;"> </div> === Additional topics === === Course...

New page

== Desired Learning Outcomes ==

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">

</div>

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|644]]

← Older revision		Revision as of 20:22, 3 December 2014
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	=== Prerequisites ===		=== Prerequisites ===

		+	[[Math 532]], [[Math 541\|541]].
	=== Minimal learning outcomes ===		=== Minimal learning outcomes ===

@@ Line 35: / Line 35: @@
 Hermite functions and polynomials.
-Other integral transforms. In particular, we will discuss the continuous wavelet transform, derive a Plancherel formula and an inversion formula
+Other integral transforms. In particular, we will discuss the continuous wavelet transform, derive a Plancherel formula and an inversion formula.
 === Textbooks ===

@@ Line 25: / Line 25: @@
 Spaces of functions on R^n
-In particular, we will discuss the space of compactly supported functions, functions of compact support and the algebraic structure of those spaces, i.e., convolution.
+The space of compactly supported functions, functions of compact support and the algebraic structure of those spaces, i.e., convolution.
 The Fourier transform of rapidly decreasing functions and L^2 functions, inversion formula and Plancherel theorems.
@@ Line 35: / Line 35: @@
 Hermite functions and polynomials.
-At the end, we will also discuss some other integral transforms. In particular, we will discuss the continuous wavelet transform, derive a Plancherel formula and an inversion formula
+Other integral transforms. In particular, we will discuss the continuous wavelet transform, derive a Plancherel formula and an inversion formula
 === Textbooks ===

@@ Line 19: / Line 19: @@
 === Minimal learning outcomes ===
-<div style="-moz-column-count:2; column-count:2;">
+Periodic functions and Fourier series;
-</div>
+Convergence of Fourier series;
 === Textbooks ===

← Older revision		Revision as of 16:38, 28 July 2010
Line 22:		Line 22:

	</div>		</div>
		+	=== Textbooks ===
		+
		+	Possible textbooks for this course include (but are not limited to):
		+
		+	*

	=== Additional topics ===		=== Additional topics ===

← Older revision	Revision as of 22:45, 3 April 2013
(No difference)

@@ Line 8: / Line 8: @@
 === Prerequisite ===
-[[Math 532]], [[Math 542|542]].
+[[Math 532]], [[Math 541|541]].
 === Description ===

@@ Line 2: / Line 2: @@
 === Title ===
-=== (Credit Hours:Lecture Hours:Lab Hours) ===
+=== Credit Hours ===
-−
-=== Offered ===
 === Prerequisite ===
 === Description ===
+Harmonic analysis on the torus and in Euclidean space; pointwise and norm convergence of Fourier series and functional-analytic aspects of Fourier transforms emphasized.
-=== Note ===
 == Desired Learning Outcomes ==

← Older revision		Revision as of 15:39, 9 May 2008
Line 1:		Line 1:
		+	== Catalog Information ==
		+
		+	=== Title ===
		+
		+	=== (Credit Hours:Lecture Hours:Lab Hours) ===
		+
		+	=== Offered ===
		+
		+	=== Prerequisite ===
		+
		+	=== Description ===
		+
		+	=== Note ===
		+
	== Desired Learning Outcomes ==		== Desired Learning Outcomes ==