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tempered
tempered, a. (ˈtɛmpəd) [f. temper v. and n. + -ed.] † 1. Brought to or having a proper or desired temper, quality, or consistence (usually by mixture of elements or mingling of qualities); hence, of an intermediate or moderate quality free from either extreme; temperate. Obs. except as below.c 1375 ... Oxford English Dictionary
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Tempered representation
The original definition of a tempered representation, which has certain technical advantages, is that its Harish-Chandra character should be a "tempered tempered representations. wikipedia.org
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Ill-tempered Definition & Meaning - Merriam-Webster
The meaning of ILL-TEMPERED is ill-natured, quarrelsome. How to use ill-tempered in a sentence.
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Tempered glass
Household uses Tempered glass is also used in the home. Disadvantages Tempered glass must be cut to size or pressed to shape before tempering, and cannot be re-worked once tempered. wikipedia.org
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ill tempered Crossword Clue | Wordplays.com
The Crossword Solver found 30 answers to "ill tempered", 6 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue.
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Example a distribution of finite order which is not tempered I am looking for an example of a distribution of finite order that is not a tempered distribution. Could anyone help me with an example. It is known that a...
The distribution corresponding to the $L^{1,loc}$ function $e^{x^2}$.
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Tempered glass - Wikipedia
Tempered or toughened glass is a type of safety glass processed by controlled thermal or chemical treatments to increase its strength compared with normal glass. Tempering puts the outer surfaces into compression and the interior into tension. Such stresses cause the glass, when broken, to shatter into small granular chunks instead of ...
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construct tempered distribution Find a continuous function $f$ defined on $\mathbb{R}^d$ such that (1) there is no polynomial $P$ in $d$ variables such that $|f(x)| \leq P(x)$ for all $x \in \mathbb{R}^d$. (2) The ...
You will need something that oscillates wildly, yet defines a tempered distribution. The idea is to take something bounded (hence tempered), but with a very capricious derivative - and since derivatives of temepred distribution are tempered
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Definition of distribution, pseudofunction, and tempered distribution As a physicist, I do not know the difference What is a pseudofunction? How is it different from a distribution? What is a tempered distribution? ...
Since there are more Schwarz functions than functions in $C^\infty_c$, the tempered distributions are a subset of the usual ones. A typical example of a distribution that is not tempered is $f(x) = e^{x^2}$.
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Is the function $u$ a (tempered) distribution? Let $u : C^{\infty}_0 \rightarrow \mathbb C : \phi \rightarrow \int_{0}^{\infty} e^{-x} \phi(x) $ $dx $ Is $u$ a distribution ? Is it a tempered distribution ?
Yes to both (provided you appropriately change $u$ to act on Schwartz functions when asking if it's tempered). [Proof that $L^p$ functions define tempered distributons
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If $f$ is a bounded tempered distribution and $g \in L^1$ is then $\int_{\Bbb R^n}(f\ast\tilde\varphi)(x)\tilde g(x)\,dx$ a tempered distribution? Let $f$ be a bounded tempered distribution, that is, $f\ast\varphi \in...
Take a look on this book in the part of tempered distributions: "Michael Eugene Taylor - Partial Differential Equations Volume I Basic Theory" Ok lets \|f\ast \tilde{\phi}\|_{\infty}\|\tilde{g}\|_{1} \nonumber \end{eqnarray} On the other hand, as you can see in that book, $f\ast \tilde{\phi}$ is a tempered
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Method of And Apparatus for The Production of Tempered Glass Articles ...
1,263,286. Tempering glass. VETRERIA MILANESE LUCCHINI PEREGO S.p.A. 21 April, 1969 [20 April, 1968], No. 20244/69. Heading C1M. Glass pieces having at least two plane sides 11 joined along an edge by a curved portion so that the plane surfaces are at an angle, e.g. a U- shaped channel piece, are tempered, after formation and cutting of the piece, by rapidly cooling the glass with a cooling ...
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Singular support of a tempered distribution is compact? I am reading _Introduction to the Theory of Distributions_ by Friedlander and Joshi. As definition 8.6.1, they define the singular support of a tempered distribu...
They can't. And it is probably a mistake in the book. The analogous statement in Hormander's _Analysis of Linear Partial Differential Operators_ volume 1 is Theorem 4.2.5, where instead of $\mathscr{S}'$ the statement is given in terms of $\mathscr{E}'$, the space of distributions with compact suppo...
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The Fourier transform of a tempered distribution is supported at the origin If the Fourier transform of a tempered distribution $G$ is supported at the origin, does this imply that $G$ is a constant? Can anyone give a...
No, for instance if $S(x) = x$ then $\hat S = i\delta'$ (up to a multiplicative constant depending on how you define the fourier transform). More generaly if $S$ is a polynomial $S(x) = \sum a_k x^k $ then $\hat S = \sum a_k i^k\delta^{(k)} $
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Is $f(x)=e^x \cdot \cos(e^x)$ a tempered distribution? Let $f(x)=e^x \cdot \cos(e^x)$. Define $$T_f(\varphi)=\int_{-\infty}^{+\infty} f(x) \cdot \varphi(x) \ .$$ I would like to know if $T_f$ defined with the formula ...
Deduce that the derivative is a tempered distribution (without being a function of slow growth itself).
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