Differential operators and differential equations of infinite order with constant coefficients: Researches in connection with integral functions of finite order

Cover......Page 1 Title Page......Page 2 Preface......Page 3 Contents......Page 4 PREPARATORY CHAPTER......Page 5 INTRODUCTION......Page 19 CHAPTER I. Necessary and Sufficient Conditions......Page 41 CHAPTER II. Properties of the Function h(x) = F(D)-->y(x)......Page 81 CHAPTER III. Further Investigation of the Function h(x) = F(D) --> y(x)......Page 119 CHAPTER IV. On the Differential Equation F(D)-->y(x) = h(x)......Page 151 CHAPTER V. Chapters III and IV Continued......Page 182 REFERENCES......Page 224