02:15pm-3:30pm Monday, Wednesday in room 376 MSB.
Also note:
Section Start Date 01/16/24; Section End Date 05/05/24; Last Day to Add 01/22/24; Last Day to Drop 01/29/24; Last Day to Withdraw 04/01/24;
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Instructor: Book: Office hours: Office: Office tel.: E-mail: WWW of the course : |
Artem Zvavitch "Real Analysis: Measure Theory, Integration, and Hilbert Spaces" by E. M. Stein, R. Shakarchi. 12:30-2:00 MW, but the best is to e-mail me and to make an appointment. 364 (330)-672-33-16 zvavitch@math.kent.edu http://www.math.kent.edu/~zvavitch/RV2024.html |
Please, note the calendar below is just a plan. Homework and Exams dates may be adjusted during the semester!
|
Date
|
Lecture Topic
|
Special Remarks
|
|
Wednesday (01/17/24) |
Fedor Nazarov: Hilbert space (very quick review)+Linear Operators | First Homework. |
|
Monday (01/22/24) |
Fedor Nazarov: Hilber Spaces / Riesz Theorem represenation Theorem. Adjoin of a linear operator. | |
|
Wednesday (01/24/24) |
Fedor Nazarov:Examples, Examples and Examples. | |
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Monday (01/29/24) |
Hilbert space + Linear operators | First HW due |
|
Wednesday (01/31/24) |
Riesz Theorem represenation Theorem. Adjoin of a linear operator. | |
|
Monday (02/05/24) |
Adjoint of a linear operator | The second and the Third Homework. |
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Wednesday (02/07/24) |
Integral Operators & Compact Operators | |
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Monday (02/12/24) |
Compact Operators | |
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Wednesday (02/14/24) |
Compact Operators and Spectral Theorem | |
|
Monday (02/19/24) |
NO CLASS | |
|
Wednesday (02/19/24) |
Compact Operators and Spectral Theorem/ Fourier Seriese. | |
|
Monday (02/26/24) |
Just a bit of Fourier Seriese | Second and Third HW due! |
|
Wednesday (02/28/24) |
Welcome to MEASURE THEORY! | Homework 4. |
|
Monday (03/04/24) |
Welcome to MEASURE THEORY! | |
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Wednesday (03/06/24) |
Pre-measure->exterior measyre -> Measure | HW 4 is due. |
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Friday (03/08/24) <\b> |
Pre-measure->exterior measyre -> Measure | |
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Monday (03/11/24) |
Integration | Homework 5. |
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Wednesday (03/13/24) |
Product Measure. | |
|
Monday (03/18/24) |
Fubini! | Homework 5 is due! |
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Wednesday (03/20/24) |
Fubini and Polar Coordinates | Homework 6. |
|
Monday (03/25/24) |
NO CLASS, SPRING BREAK | |
|
Wednesday (03/27/24) |
NO CLASS, SPRING BREAK | |
|
Monday (04/01/24) |
Polar Coordinates and Applications | . |
|
Wednesday (04/03/24) |
The story of Jacobian. | HW 6 is due. |
|
Monday (04/08/24) |
NO CLASS HAVE FUN WITH ECLIPSE | |
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Wednesday (04/10/24) |
Increasing Functions and measures on the real line. | |
|
Monday (04/15/24) |
Signed measures | Homework 7. |
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Wednesday (04/17/24) |
Signed measures | |
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Monday (04/22/24) |
Absolute Continuity of measure | |
|
Wednesday (04/24/24) |
Introduction to Lp spaces: Holder and Minkowski inequalities. | HW 7 DUE. |
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Monday (04/29/24) |
Lp space | Homework 6. |
|
Wednesday (05/01/24) |
Banach Space. | |
|
May 10 |
FINAL HOME WORK DUE (over email) | |