# On Electrons that are ''Pulled Out'' from Metals by Hall E. H.

By Hall E. H.

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Using the p-homogeneity in the inequality of q we can easily as above that = t ~i ) 1/2 ~ = ? > o . Then inequality (I) reduces P {q(X) ~ Repeating conclusion to : s f2-2Pn/2}~ the arguments we have s I] 2n . just used we obtain the following : P {q(X} > t I ~ where [~ P { q ~ ) ~ ~ ~ O is sufficiently C exp ( - ~ t 2/p) small. From our theorem we obtain two corollaries integrability Corollary , concerning the of seminorms. I. If ~ is a Gaussian space and q is a measurable seminorm measure on a measurable then for every ~ vector , 0 ~ ~ ~ 2, 25 and every ~ ~ R ~ e x p (~ q(x) 2-£ ) d / a ~ ) ~ \$ ~ CorollarF 2.

E~n}' which is orthonormal in H ~, and for each ~ > 0, there exists an element e~ of E~such that: n+| (i) {e~,. (ii) et e~ [ "''' n' n+l! max j=l ..... 3) ll ~ ~" This is an easy consequence of the relation: sup x ~ E E , ~ U , x~±{e~ ..... 2) and the infinite dimensionality of the spaces. Now we proceed to the proof of the lemma. Let {x~;n~l} be a dense countable sub- set of the closed unit ball of E m equipped with the weak star topology (without any loss of generality we assume x~ 0).

N. Vakhania, Probability distributions in Bamach spaces. (in kussian), ~etzniereba, Tbilisi q971. G. I. SSR 74, 3 (1974) 557-559- [6] W. Phys. 8, 7 (1960), 439-443. D. ~ilman, The dimension of almost spherical sections o~ convex bodies, Ac~a ~a~hematica, q39, I-2 (1977), 53-94. Tbillsl State University, Tbilisi, USSR Academy of Sciences of the Georgian SSR, Computing Center Tbilisi, USSR THE GENERALIZED D O M A I N OF A T T R A C T I O N SYMMETRIC STABLE LAWS ON OF S P H E R I C A L L Y ~d by MarJorie i.