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By Heiberg J.L. (ed.)

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**Extra info for A treatise of Archimedes: Geometrical solutions derived from mechanics**

**Example text**

B4t / as Hilbert spaces with equivalent norms. Ᏹ t / is unitary for every t 2 Œ0; d/. TB t / for every t 2 Œt0 ; d/. A t1 / for t0 t1 t2 < d. A t / ¤ ?. / W ! 4) t"1 and t"1 Moreover, these ranks are independent of the choice of the point ! 2 ރC . 1). If H 2 Lmm , then, without loss of generality, it may be assumed that d < 1. / are both positive definite. 5. t /, given some information about the solution of the system. 0/ D 0. /, 0 t < d. Jp / were studied there. / are also entire mvf’s.

4). 1). /V 2 Lmm 2 for every point 2 ރC . BITANGENTIAL DIRECT AND INVERSE PROBLEMS 23 The inverse spectral problem. 5). 2. /. 4 of [Arov and Dym 2005c] for the case D ı. 3. 11). 12. 3) enjoys the following properties: (1) U t 2 ᐁ. p / for every t 2 Œ0; d/. /k Dt: jj1=2 In particular, U t 62 ᐁr sR . p / and therefore, the results discussed in the preceding sections are not directly applicable. 5) 24 DAMIR Z. 3). 4 is applicable to A t . 1). Œ0; d// holds for every g 2 with compact support in Œ0; d/.

1). /V 2 Lmm 2 for every point 2 ރC . BITANGENTIAL DIRECT AND INVERSE PROBLEMS 23 The inverse spectral problem. 5). 2. /. 4 of [Arov and Dym 2005c] for the case D ı. 3. 11). 12. 3) enjoys the following properties: (1) U t 2 ᐁ. p / for every t 2 Œ0; d/. /k Dt: jj1=2 In particular, U t 62 ᐁr sR . p / and therefore, the results discussed in the preceding sections are not directly applicable. 5) 24 DAMIR Z. 3). 4 is applicable to A t . 1). Œ0; d// holds for every g 2 with compact support in Œ0; d/.

### A treatise of Archimedes: Geometrical solutions derived from mechanics by Heiberg J.L. (ed.)

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