SKU: 72523543187

Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications

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Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with ApplicationsDistribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with

Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems.
Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems.
After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions.
Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.

Binding Type: Paperback
Publisher: Dover Publications
Published: 11/18/2010
ISBN: 9780486654799
Pages: 400
Weight: 0.89lbs
Size: 8.44h x 5.39w x 0.78d
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SKU: 72523543187

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karine
Chelsea, US
★★★★★ 5
Works
Size: 3 Panel-102'', Color: Beige, Size: 3 Panel-102'', Color: Beige
It’s beige and not white. Once install - hard to disinstall. Need a drill to put it together
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Reviewed in the United States on May 4, 2026
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ralversity
West Palm Beach, US
★★★★★ 3
Does the job, but assembling by yourself is a nightmare
Size: 4 Panel-88'', Color: Black
Does it do the job? Yes, although as others said there are small gaps but it's not a huge deal. The price is also good. But the reason I'm giving it a 3/5 is simply because the assembly for this was a complete nightmare. I honestly don't think I would recommend this to anyone unless they have another person to help them assemble it, because doing it by myself was terrible. I don't think I'd buy this again, I think I'd opt to just spend a bit more money and save myself the trouble personally.
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Reviewed in the United States on May 29, 2026
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Talagand
Waukegan, US
★★★★★ 4
Reasonably adequate room divider
Size: 4 Panel-88'', Color: Beige
I'm reviewing this as I assemble it. Couple things: 1. I didn't expect as much assembly. I've ordered dividers before and they more-or-less came as one unit. Sometimes the panels needed screwing together. These require complete assembly and come largely as three rods: two make up vertical columns and snap together. Another one (called part "C") makes the horizontal columns and you have two of these per panel (one attaches to part "A" and the other part "B"). These parts are metal with a plastic shim. Using the wood screws to attach to part "C" is a real pain in the neck. There's not much holding the panel in place so it's a little tricky. One tactic I've found while I'm assembling that works for the initial connections from parts A and B to their respective "C" rods is to hold the screw in place with a screw driver and then rotating the rod around the screw. This will do a number on your hands if you aren't wearing gloves. This obviously doesn't work when completing the connection. Using a driller driver on this is really near impossible because there isn't anything you can use to secure it in place. You can use it on the first panel, but as it gets longer, it becomes increasingly difficult and because it isn't wood, it's really tight. I considered drilling larger pilot holes but since there are only 4x4=16 screws I need to screw in, I just decided to use my screw driver to complete it. 2. Also related to assembly. When completing the panels (attaching parts "A" and "B" to parts "C" that have the cloth cover on it), you have to be careful that when you tighten that side that it isn't loosening the other side. Because the pilot holes are so tight, you can end up rotating the rod, which rotates it in the same direction as looser on the original side. Having someone hold the "C" rod in place while you screw it in is probably the easiest approach. I didn't have a 2nd person, so I just had to keep flipping back and forth and tightening both sides as I screwed it in. Not the worlds biggest deal, but annoying nonetheless. 3. The way the instructions are written, they seem to suggest building this thing progressively; that is, you do panel 1, then 2, connect them together, then do 3 and connect it, etc. I took a different route that I suspect saved me quite a bit of trouble, and I assembled all four panels first and THEN connected everything together. 4. For the love of God make sure you check that the plastic tip is on the same side for every panel. Otherwise, you have to take one side apart again and reverse it. On the bright side, if this happens, you've essentially bored out the pilot holes to be the correct size... which is having me question if I shouldn't have just bored them out to the appropriate width in the first place. 5. Attaching all of the panels together is also an enormous pain in the ass unless you happen to have an 88" long elevated surface. Attaching the legs either requires you to elevate one side, which will invariably twist the inexplicably cheap material in the bottom connectors... or you can attach them sideways... or you can put this thing upright, having two people hold the panels in place while you use the allen wrench to tighten the bolts on the underside. None of those are particularly great options. NOW on to the utility itself. 1. The panels do let some light through (I didn't believe their advertising, and that was one of the reasons that I bought beige, is that I wanted it to not be too dark). They aren't transparent though, so it isn't that far off from their description. They functionally work great, and keep the mess of wires hidden and when I'm sitting at my desk, actually reflect quite a bit of light into my office. Great! 2. My wife has described these as "the most hideous piece of furniture ever conceived of by man." So it does not have spouse approval factor. Granted, she will seldom be in my office area, so that isn't the end of the world. 3. These are really hard to align in a way that doesn't look a little tacky. There are some plastic connectors but they don't do a bang up job of keeping these in place. Each panel is slightly tilted and it's... quite obvious. I may at some point make my own improvements to these to help make them more level. It's not a particularly expensive product so I wasn't expecting much so it's fine and I'm not going to ding them on the rating because of it. All said, would I buy this product again? Probably not. It's assembly was ~90 minutes which is about 75 minutes longer than I was anticipating spending on this (not including the 5 minute writeup that I'm doing here). But am I going to return it? Also no, if for no other reason I'd be just as annoyed taking it apart and putting it in the original box to return it.
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Reviewed in the United States on October 31, 2023
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Barbara McCloud
Dallas, US
★★★★★ 5
Nice and strong
Color: Black, Size: Wheel-6 Panel
Nice and strong, tedious, putting together, but very good quality
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Reviewed in the United States on March 17, 2026
A
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Al Tompkins
Belleville, US
★★★★★ 5
if you are going to be moving them a lot, buy something more sturdy.
Color: Black, Size: Wheel-6 Panel
I use these at our churchc. They are pretty good, not terribly study and the screw that hold the faabric have pulled out in a couple of places. But they wqould work especially well if you were not constantly moving them as we do. They are a bit of a pain to assemble.
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Reviewed in the United States on January 20, 2026

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