Journal of Mathematics and Mechanics, Volume 12Graduate Institute for Mathematics and Mechanics, Indiana University, 1963 - American periodicals |
From inside the book
Results 1-3 of 77
Page 328
... formula looks like this : 0 - K.W ( det Ked K.W * 1 det det KE -g * K W , KW Now we must study the behavior of v in order to show that it admits an inverse Fourier - Laplace transform , and to permit some conclusions about the ...
... formula looks like this : 0 - K.W ( det Ked K.W * 1 det det KE -g * K W , KW Now we must study the behavior of v in order to show that it admits an inverse Fourier - Laplace transform , and to permit some conclusions about the ...
Page 378
... formula ( 14 ) becomes ico ( 17 ) f ( r ) 2 2 27T uF ( u ) g ( u , r ) sin un du I. ( ka ) / __ ( ka ) Also the definition ( 9 ) is now dr ( 18 ) F ( u ) = g ( u , v ) t ( a ) 3. Derivative form . The formula ( 12 ) shows that the ...
... formula ( 14 ) becomes ico ( 17 ) f ( r ) 2 2 27T uF ( u ) g ( u , r ) sin un du I. ( ka ) / __ ( ka ) Also the definition ( 9 ) is now dr ( 18 ) F ( u ) = g ( u , v ) t ( a ) 3. Derivative form . The formula ( 12 ) shows that the ...
Page 429
... formula similar to the familiar Cauchy formula in the complex plane . Various such formulas have been given by Bergmann [ 2 , 3 ] , Weil [ 8 ] , Hervé [ 6 ] , Arens [ 1 ] , and the author [ 4 ] . Of these the form sketched by Weil is ...
... formula similar to the familiar Cauchy formula in the complex plane . Various such formulas have been given by Bergmann [ 2 , 3 ] , Weil [ 8 ] , Hervé [ 6 ] , Arens [ 1 ] , and the author [ 4 ] . Of these the form sketched by Weil is ...
Contents
AUSLANDER T A BROWN J W T YOUNGS The imbedding of graphs | 629 |
G BANDYOPADHYAY A theorem on spherically symmetric solutions | 655 |
CALDWELL Maximal vector spaces of light interior functions 411 | 693 |
2 other sections not shown
Other editions - View all
Common terms and phrases
a₁ algebra analytic assume asymptotic B₁ boundary conditions bounded Cauchy Cauchy problem coefficients complex components consider constant continuous functions converges corresponding cross-ratio defined definition denote derivatives differential equations directly embedded sphere distribution eigenvalues eigenvectors elements exists finite follows formula given Hence Hilbert space Hölder continuous homeomorphic imbedding implies independent inequality initial stress integral invariant Journal of Mathematics Lemma linear M₁ manifold Markov process Math Mathematics and Mechanics matrix method metric tensor notation obtained operator P₁ partial differential equations polynomial positive problem Proof properties prove respect result satisfies sequence soft solution space stationary stationary process subset Suppose symmetric t₁ t₂ tensor Theorem theory transformation u₁ uniformly unique values vanishes variables vector velocity Y₁ zero