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Distribution Theory & Applications (V9)This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs. The very basic properties of distributions are examined
This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations.A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the most fundamental tools in different mathematical disciplines, and also in physics. Convolution algebras, which are sufficient for the treatment of classical PDEs, are used in various applications.The general frame for the resolution of PDEs is the theory of kernels -- the first elements of which are sufficient to show the practicality of distribution theory in applications.Comments are provided to clarify the settings and sustain calculations. This book may be used by mathematicians, physicists, engineers and graduate students.Shipping Notes
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★★★★★ 5
Sweet dreams with Beckham Hotel pillows!
Size: Queen (Adjustable Foam)
Pillows come overstuffed so you can adjust the amount of foam and support. I took extra foam out for use in other pillows or for comfort adjustment. Outside of pillow is washable and just zips to get on and off. Inside of pillow also zips for easy access to foam. Pillow is great for head and neck positioning for optimal posture, alignment, and unloading of weight on neck and shoulders for muscle relaxation and pain relief for deeper sleep.
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Reviewed in the United States on March 1, 2026
★★★★★ 4
Good quality and adjustable comfort
Size: Queen (Adjustable Foam)
Well-constructed and packed with lots of foam pieces. As received, the pillow is firm and well stuffed. I would up removing a good amount of stuffing for a custom fit -- as recommended by the pillow maker. Now, the pillow is extremely comfortable.
Due to being able to customize the fill and making this pillow comfortable to my sleeping style, I am happy with this purchase and would recommend its purchase.
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Reviewed in the United States on April 9, 2026
★★★★★ 5
Love this pillow it is amazing
Size: Queen (Adjustable Foam)
Excellent pillow very comfortable
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Reviewed in the United States on June 1, 2026
★★★★★ 5
I like it
Size: Queen (Adjustable Foam)
I have been trying to find the "perfect" pillow. I am not sure if this would count as the perfect pillow, but it is better than my previous pillow. I have not been waking up with a stiff neck and soreness across my shoulders. It is more firm than I thought it would be. But so far, so good.
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Reviewed in the United States on December 25, 2025
★★★★★ 3
Decent firm pillow
Size: Queen (Adjustable Foam)
I've been using the shredded foam pillow since January. At first it was too packed/firm, so I had to remove some of the stuffing from mine. When fully full, it is a chore to get it in/out of our standard pillow cases.
Over time, the pillow has developed a divot from where my head rests the most, so I'll need to fully remove/fluff/reinsert the foam to get it back into shape. Overall, I find the comfort of this pillow just okay. It absorbs your head heat even in the winter, so if you prefer a cool pillow, I don't recommend it. It does seem to be a good quality pillow otherwise. I expect I'll be able to use this one for a few years without it falling apart. It doesn't smell bad either.
My husband really likes the pillow, but I've also seen him sleep comfortably on very old pillows that have turned into pancakes... so do with that information what you will.
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Reviewed in the United States on June 25, 2025
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