Mathématiques

1966 · 055996 — Princeton Nj: Princeton University Press 1966. 1st Edition 1st Printing. Hardcover. Very Good/No Jacket. X 386 Pp. Gray Cloth Spine Lettered In Gilt. First Printing. Light Usage. Ex-Library With Minimal Markings On Endpapers Mcmaster University Bookplate Stamps On Edges Of Page Block Slight Discoloration To Spine From Removal Of Label. Per Wikipedia Salomon Bochner 1899 -1982 Was An Austrian Mathematician Known For Work In Mathematical Analysis Probability Theory And Differential Geometry. He Was Born Into A Jewish Family In Podgórze Near Kraków Then Austria-Hungary Now Poland. Fearful Of A Russian Invasion In Galicia At The Beginning Of World War I In 1914 His Family Moved To Germany Seeking Greater Security. Bochner Was Educated At A Berlin Gymnasium Secondary School And Then At The University Of Berlin. There He Was A Student Of Erhard Schmidt Writing A Dissertation Involving What Would Later Be Called The Bergman Kernel. Shortly After This He Left The Academy To Help His Family During The Escalating Inflation. After Returning To Mathematical Research He Lectured At The University Of Munich From 1924 To 1933. His Academic Career In Germany Ended After The Nazis Came To Power In 1933 And He Left For A Position At Princeton University. He Was A Visiting Scholar At The Institute For Advanced Study In 1945-48. He Was Appointed As Henry Burchard Fine Professor In 1959 Retiring In 1968. Although He Was Seventy Years Old When He Retired From Princeton Bochner Was Appointed As Edgar Odell Lovett Professor Of Mathematics At Rice University And Went On To Hold This Chair Until His Death In 1982. He Became Head Of Department At Rice In 1969 And Held This Position Until 1976. In 1925 He Started Work In The Area Of Almost Periodic Functions Simplifying The Approach Of Harald Bohr By Use Of Compactness And Approximate Identity Arguments. In 1933 He Defined The Bochner Integral As It Is Now Called For Vector-Valued Functions. Bochner's Theorem On Fourier Transforms Appeared In A 1932 Book. His Techniques Came Into Their Own As Pontryagin Duality And Then The Representation Theory Of Locally Compact Groups Developed In The Following Years. Subsequently He Worked On Multiple Fourier Series Posing The Question Of The Bochner-Riesz Means. This Led To Results On How The Fourier Transform On Euclidean Space Behaves Under Rotations. In Differential Geometry Bochner's Formula On Curvature From 1946 Was Published. Joint Work With Kentaro Yano 1912-1993 Led To The 1953 Book Curvature And Betti Numbers. It Had Consequences For The Kodaira Vanishing Theory Representation Theory And Spin Manifolds. Bochner Also Worked On Several Complex Variables The Bochner-Martinelli Formula And The Book Several Complex Variables From 1948 With W. T. Martin. <br/> <br/> Princeton University Press hardcover